List of Publications & Preprints of Markus Grassl

Books

• Markus Grassl.
  Fehlerkorrigierende Codes für Quantensysteme: Konstruktionen und Algorithmen
  Aachen: Shaker Verlag, August 2002.
  Zugl.: Universität Karlsruhe, Dissertation, Februar 2001.
  (ISBN 3-8322-0492-X/ISBN 978-3-8322-0492-1)

Chapters in Books

• Markus Grassl and Martin Rötteler,
  "Nonadditive quantum codes",
  in: Daniel A. Lidar and Todd A. Brun (Eds.),
  Quantum Error Correction, Cambridge University Press, 2013, pp. 261-278.
• Markus Grassl and Martin Rötteler,
  "Quantum Error Correction and Fault Tolerant Quantum Computing",
  in: R. A. Meyers (Ed.),
  Encyclopedia of Complexity and Systems Science, Springer, 2009, pp. 7324-7342.
  DOI: 10.1007/978-0-387-30440-3_435
• Thomas Decker and Markus, Grassl,
  "Implementation of Generalized Measurements with Minimal Disturbance on a Quantum Computer",
  in: Wolfgang P. Schleich and Herbert Walther, Herbert (Eds.)
  Elements of Quantum Information, Wiley-VCH, 2007, pp. 399-424.
• Markus Grassl,
  "Encoding and decoding quantum error-correcting codes",
  in: G. Casati, D. L. Shepelyansky, and P. Zoller,
  Proceedings of the International School of Physics "E. Fermi",
  Course CLXII on "Quantum Computers, Algorithms and Chaos"
  IOS Press, 2006, pp. 33-44.
• Markus Grassl,
  "Classical Information Theory and Classical Error Correction",
  in: Dagmar Bruß und Gerd Leuchs (Eds.)
  Lectures on Quantum Information. Wiley-VCH, 2006, pp. 3-16.
• Markus Grassl,
  "Quantum Error Correction",
  in: Dagmar Bruß und Gerd Leuchs (Eds.)
  Lectures on Quantum Information. Wiley-VCH, 2006, pp. 105-120.
• Thomas Beth, Markus Grassl, Dominik Janzing, Martin Rötteler, Pawel Wocjan, and Robert Zeier,
  "Algorithms for Quantum Systems - Quantum Algorithms",
  in: Thomas Beth and Gerd Leuchs (Eds.)
  Quantum Information Processing. Wiley-VCH, 2003/2005, pp. 1-13.
• Markus Grassl,
  "Algorithmic aspects of quantum error-correcting codes",
  in: Ranee K. Brylinski and Goong Chen (Eds.),
  Mathematics of Quantum Computation,
  Chapman & Hall/CRC, 2002, pp. 223-252.
• Thomas Beth and Markus Grassl,
  "The Quantum Hamming and Hexacodes",
  in: Samuel L. Braunstein (Ed.), Quantum Computing: Where Do We Want to Go Tomorrow?,
  Berlin: Wiley-VCH, 1999, pp. 153-185.

Journals

• Special Issue Quantum Computing, Thomas Beth and Markus Grassl (Eds.)
  Applicable Algebra in Engineering, Communication and Computing (AAECC), vol. 10, no. 4/5, May 2000.

• Markus Grassl, Anna-Lena Horlemann, and Violetta Weger,
  "The Subfield Metric and its Application to Quantum Error Correction",
  Journal of Algebra and Its Applications, vol. 23, no. 7, 2550063, 2024.
  DOI: 10.1142/S021949882550063X
  preprint arXiv:2212.00431 [cs.IT]
• Gaojun Luo, Martianus Frederic Ezerman, Markus Grassl, and San Ling,
  "Constructing quantum error-correcting codes that require a variable amount of entanglement",
  Quantum Information Processing, vol. 23, article 4, 2024.
  DOI: 10.1007/s11128-023-04211-x
  preprint arXiv:2207.05647 [quant-ph]
• Markus Grassl,
  "New Quantum Codes from CSS Codes",
  Quantum Information Processing, vol. 22, article 86, January 2023.
  DOI: 10.1007/s11128-023-03835-3 (open access)
  preprint arXiv:2208.05353 [quant-ph]
• Marcus Appleby, Ingemar Bengtsson, Markus Grassl, Michael Harrison, Gary McConnell,
  "SIC-POVMs from Stark units: Prime dimensions n²+3",
  Journal of Mathematical Physics, vol. 63, no. 11, November 2022, 112205.
  DOI: 10.1063/5.0083520 (open access)
  preprint arXiv:2112.05552 [quant-ph]
• Chenfeng Cao, Chao Zhang, Zipeng Wu, Markus Grassl, and Bei Zeng,
  "Quantum variational learning for quantum error-correcting codes",
  Quantum, vol. 6, October 2022, 828.
  DOI: 10.22331/q-2022-10-06-828
  Preprint arXiv:2204.03560 [quant-ph]
• Markus Grassl, Felix Huber, and Andreas Winter,
  "Entropic Proofs of Singleton Bounds for Quantum Error-Correcting Codes",
  IEEE Transactions on Information Theory, vol. 68, no. 6, June 2022, pp. 3942-3950.
  DOI: 10.1109/TIT.2022.3149291
  Preprint arXiv:2010.07902 [quant-ph]
• Aaron Z. Goldberg, Markus Grassl, Gerd Leuchs, and Luis L. Sánchez-Soto,
  "Quantumness Beyond Entanglement: The Case of Symmetric States",
  Physical Review A, vol. 105, no. 2, February 2022, 022433.
  DOI: 10.1103/PhysRevA.105.022433 (open access)
  Preprint arXiv:2110.11361 [quant-ph]
• Markus Grassl,
  Comment on "An encryption protocol for NEQR images based on one-particle quantum walks on a circle",
  Quantum Information Processing, vol. 20, article 183, May 2021.
  DOI: 10.1007/s11128-021-03094-0 (open access)
• Aaron Z. Goldberg, Pablo de la Hoz, Gunnar Björk, Andrei B. Klimov, Markus Grassl, Gerd Leuchs, and Luis L. Sánchez-Soto,
  "Quantum concepts in optical polarization,"
  Advances in Optics and Photonics, vol. 13, no. 1, March 2021, pp. 1-73.
  DOI: 10.1364/AOP.404175
  Preprint arXiv:011.03979 [quant-ph]
• Markus Grassl,
  "Entanglement-assisted quantum communication beating the quantum Singleton bound",
  Physical Review A, vol. 103, no. 2, February 2021, L020601.
  DOI: 10.1103/PhysRevA.103.L020601 (open access)
  Preprint arXiv:2007.01249 [quant-ph]
• Qihao Guoa, Yuan-Yuan Zhao, Markus Grassl, Xinfang Nie, Guo-Yong Xiang, Tao Xin, Zhang-Qi Yin, and Bei Zeng,
  "Testing a quantum error-correcting code on various platforms",
  Science Bulletin, vol. 66, no. 1, January 2021, pp. 29-35.
  DOI: 10.1016/j.scib.2020.07.033
  Preprint arXiv:2001.07998 [quant-ph]
• Aaron Z. Goldberg, Andrei B. Klimov, Markus Grassl, Gerd Leuchs, and Luis L. Sánchez-Soto,
  "Extremal quantum states,"
  AVS Quantum Science, vol. 2, no. 4, December 2020, 04470.
  DOI: 10.1116/5.0025819
  Preprint arXiv:2010.04732 [quant-ph]
• Markus Grassl,
  "Algebraic quantum codes: linking quantum mechanics and discrete mathematics",
  International Journal of Computer Mathematics: Computer Systems Theory, vol. 6, no. 4, pp. 243-250, 2021.
  DOI: 10.1080/23799927.2020.1850530
  Preprint arXiv:2011.06996 [cs.IT]
• Felix Huber and Markus Grassl,
  "Quantum Codes of Maximal Distance and Highly Entangled Subspaces,"
  Quantum, vol. 4, June 2020, 284.
  DOI: 10.22331/q-2020-06-18-284
  Preprint arXiv:1907.07733 [quant-ph]
• Jakub Czartowski, Dardo Goyeneche, Markus Grassl, and Karol Źyczkowski,
  "Isoentangled Mutually Unbiased Bases, Symmetric Quantum Measurements, and Mixed-State Designs",
  Physical Review Letters, vol. 124, no. 9, March 2020, 090503.
  DOI: 10.1103/PhysRevLett.124.090503
  Preprint arXiv:1906.12291 [quant-ph]
• Ariana Muñoz, Andrei B. Klimov, Markus Grassl, and Luis L. Sánchez-Soto,
  "Tomography from collective measurements",
  Quantum Information Processing, vol. 17, no. 10, October 2018, 286.
  DOI: 10.1007/s11128-018-2045-0
  Preprint arXiv:1809.04816 [quant-ph]
• Markus Grassl, Linghang Kong, Zhaohui Wei, Zhang-Qi Yin, and Bei Zeng,
  "Quantum Error-Correcting Codes for Qudit Amplitude Damping",
  IEEE Transactions on Information Theory, vol. 64, no. 6, June 2018, pp. 4674-4685.
  DOI: 10.1109/TIT.2018.2790423
  Preprint arXiv:1509.06829 [quant-ph]
• Rui Han, Gerd Leuchs, and Markus Grassl,
  "Residual and destroyed accessible information after measurements",
  Physical Review Letters, vol. 120, no. 17, April 2018, 160501.
  DOI: 10.1103/PhysRevLett.120.160501
  Preprint arXiv:1710.11586 [quant-ph]
• Markus Grassl and Andrew J. Scott,
  "Fibonacci-Lucas SIC-POVMs",
  Journal of Mathematical Physics, vol. 58, no. 12, 122201, December 2017.
  DOI: 10.1063/1.4995444
  Preprint arXiv:1707.02944 [quant-ph]
• F. Bouchard, P. de la Hoz, G. Björk, R. W. Boyd, M. Grassl, Z. Hradil, E. Karimi, A. B. Klimov, G. Leuchs, J. Rehacek, and L. L. Sánchez-Soto,
  "Quantum metrology at the limit with extremal Majorana constellations",
  Optica, vol. 4, no. 11, pp. 1429-1432 (2017).
  DOI: 10.1364/OPTICA.4.001429
  Preprint arXiv:1612.06804 [quant-ph]
• Youning Li, Muxin Han, Markus Grassl, and Bei Zeng,
  "Invariant perfect tensors",
  New Journal of Physics, vol. 19, June 2017.
  DOI: 10.1088/1367-2630/aa7235
  Preprint arXiv:1612.04504 [quant-ph]
• Yuan-Yuan Zhao, Markus Grassl, Bei Zeng, Guo-Yong Xiang, Chao Zhang, Chuan-Feng Li, and Guang-Can Guo,
  "Experimental detection of entanglement polytopes via local filters",
  npj Quantum Information, vol.3, article no. 11, March 2017.
  DOI: 10.1038/s41534-017-0007-5
• Markus Grassl and Masaaki Harada,
  "New self-dual additive F₄-codes constructed from circulant graphs",
  Discrete Mathematics, vol. 340, no. 3, March 2017, pp. 399-403.
  DOI: 10.1016/j.disc.2016.08.023
  Preprint arXiv:1509.04846 [math.CO]
• Olivia Di Matteo, Luis L. Sánchez-Soto, Gerd Leuchs, and Markus Grassl,
  "Coarse graining the phase space of N qubits"
  Physical Review A, vol. 95, no. 2, February 2017, 022340.
  DOI: 10.1103/PhysRevA.95.022340
  Preprint arXiv:1701.08630 [quant-ph]
• Markus Grassl, Daniel McNulty, Ladislav Mišta, Jr., and Tomasz Paterek,
  "Small sets of complementary observables",
  Physical Review A, vol. 95, no. 1, January 2017, 012118.
  DOI: 10.1103/PhysRevA.95.012118
  Preprint arXiv:1611.08962 [quant-ph]
• Gunnar Björk, Markus Grassl, Pablo de la Hoz, Gerd Leuchs and Luis L. Sánchez-Soto,
  "Stars of the quantum Universe: extremal constellations on the Poincaré sphere",
  Physica Scripta, vol. 90, no. 10, September 2015, 108008.
  DOI: 10.1088/0031-8949/90/10/108008
• G. Björk, A. B. Klimov, P. de la Hoz, M. Grassl, G. Leuchs, L. L. Sánchez-Soto,
  "Extremal quantum states and their Majorana constellations",
  Physical Review A, vol. 92, no.3, September 2015, 031801(R).
  DOI: 10.1103/PhysRevA.92.031801
  Preprint arXiv:1502.03446 [quant-ph]
• Lin Chen, Dragomir Z. Djokovic, Markus Grassl, and Bei Zeng,
  "Canonical form of three-fermion pure-states with six single particle states",
  Journal of Mathematical Physics, vol. 55, no. 8, August 2014, 082203.
  DOI: 10.1063/1.4892103
  Preprint arxiv:1306.2570 [quant-ph]
• Prabha Mandayam, Somshubhro Bandyopadhyay, Markus Grassl, William K. Wootters,
  "Unextendible Mutually Unbiased Bases from Pauli Classes",
  Quantum Information & Computation, vol. 14, no. 9 & 10, July 2014, pp. 823-844.
  Preprint arXiv:1302.3709 [quant-ph]
• D. M. Appleby, Ingemar Bengtsson, Stephen Brierley, Åsa Ericsson, Markus Grassl, Jan-Åke Larsson,
  "Systems of Imprimitivity for the Clifford group",
  Quantum Information & Computation, vol. 14, no. 3 & 4, March 2014, pp. 339-360.
  Preprint arXiv:1210.1055 [quant-ph]
• Lin Chen, Dragomir Z. Djokovic, Markus Grassl, and Bei Zeng,
  "Four-qubit pure states as fermionic states",
  Physical Review A, vol. 88, no. 5, November 2013, 052309.
  DOI: 10.1103/PhysRevA.88.052309
  Preprint arXiv:1309.0791 [quant-ph]
• Jingfu Zhang, Markus Grassl, Bei Zeng, and Raymond Laflamme,
  "Experimental implementation of a codeword-stabilized quantum code",
  Physical Review A, vol. 85, no. 6, June 2012, 062312.
  DOI: 10.1103/PhysRevA.85.062312
  Preprint arXiv:1111.5445 [quant-ph]
• D. M. Appleby, Ingemar Bengtsson, Stephen Brierley, Markus Grassl, David Gross, Jan-Åke Larsson,
  "The monomial representations of the Clifford group",
  Quantum Information & Computation, vol. 12, no. 5 & 6, May 2012, pp. 404-431.
  Preprint arXiv:1102.1268 [quant-ph]
• Salman Beigi, Isaac Chuang, Markus Grassl, Peter Shor, and Bei Zeng,
  "Graph Concatenation for Quantum Codes",
  Journal of Mathematical Physics, vol. 52, no. 2, February 2011, 022201.
  DOI: 10.1063/1.3534799
  Preprint arXiv:0910.4129 [quant-ph]
• Alejandro P. Nicolás, Consuelo Martínez, and Markus Grassl,
  "Fully Ramified Characters and Clifford Codes",
  Communications in Algebra, vol. 39, no. 1, January 2011, pp. 100-115.
  DOI: 10.1080/00927870903431191
• Markus Grassl, Zhengfeng Ji, Zhaohui Wei, and Bei Zeng,
  "Quantum-capacity-approaching codes for the detected-jump channel",
  Physical Review A, vol. 82, no. 6, December 2010, 062324.
  DOI: 10.1103/PhysRevA.82.062324
  Preprint arXiv:1008.3350 [quant-ph]
• Tomasz Paterek, Marcin Pawłowski, Markus Grassl, and Časlav Brukner,
  "On the connection between mutually unbiased bases and orthogonal Latin squares",
  Physica Scripta, vol. T 140, September 2010, 014031.
  DOI: 10.1088/0031-8949/2010/T140/014031
  Preprint arXiv:0910.1439 [quant-ph]
• Yunfan Li, Ilya Dumer, Markus Grassl, and Leonid P. Pryadko,
  "Structured Error Recovery for Codeword-Stabilized Quantum Codes",
  Physical Review A, vol. 81, no. 5, May 2010, 052337.
  DOI: 10.1103/PhysRevA.81.052337
  Preprint arXiv:0912.3245 [quant-ph]
• Andrew J. Scott and Markus Grassl,
  "Symmetric informationally complete positive-operator-valued measures: A new computer study",
  Journal of Mathematical Physics, vol. 51, no. 4, 042203, April 2010.
  DOI: 10.1063/1.3374022
  Preprint arXiv:0910.5784 [quant-ph]
• Markus Grassl, Peter Shor, Graeme Smith, John Smolin, and Bei Zeng,
  "Generalized Concatenated Quantum Codes",
  Physical Review A, vol. 79, no. 5, May 2009, 050306(R).
  DOI: 10.1103/PhysRevA.79.050306
  Preprint arXiv:0901.1319v1 [quant-ph]
• G. David Forney, Jr., Markus Grassl, and Saikat Guha,
  "Convolutional and tail-biting quantum error-correcting codes",
  IEEE Transactions on Information Theory, vol. 53, no. 3, March 2007, pp. 865-880.
  DOI: 10.1109/TIT.2006.890698
  Preprint quant-ph/0511016
• Markus Grassl,
  "Fehlerkorrektur für Quantensysteme",
  it - Information Technology, vol. 48, no. 6 (2006), pp. 354-358.
  DOI: 10.1524/itit.2006.48.6.354
  
• Joseph M. Renes and Markus Grassl,
  "Generalized decoding, effective channels, and simplified security proofs in quantum key distribution",
  Physical Review A, vol. 74, no. 2, August 2006, 022317.
  DOI: 10.1103/PhysRevA.74.022317
  Preprint quant-ph/0505061
• Thomas Decker and Markus Grassl,
  "Implementation of generalized measurements with minimal disturbance on a quantum computer",
  Fortschritte der Physik, vol. 54, no. 8-10 (2006), pp. 898-916.
  DOI: 10.1002/prop.200610308
• Markus Grassl,
  "Tomography of Quantum States in Small Dimensions",
  Workshop on Discrete Tomography and its Applications New York, USA, Juni 2005,
  Electronic Notes in Discrete Mathematics, vol. 20 (2005), pp. 151-164.
  DOI: 10.1016/j.endm.2005.05.060
  local copy, © 2005, Elsevier.
• Robert Zeier, Markus Grassl, and Thomas Beth,
  "Gate simulation and lower bounds on the simulation time",
  Physical Review A 70, 032319 (2004).
  DOI: 10.1103/PhysRevA.70.032319
  Preprint quant-ph/0403082
• Markus Grassl, Thomas Beth and Martin Rötteler,
  "On Optimal Quantum Codes",
  International Journal of Quantum Information, vol. 2, no. 1 (2004), pp. 55-64.
  DOI: 10.1142/S0219749904000079
  Preprint quant-ph/0312164
• Markus Grassl, Martin Rötteler, and Thomas Beth,
  "Efficient Quantum Circuits for Non-Qubit Quantum Error-Correcting Codes",
  International Journal of Foundations of Computer Science (IJFCS), Vol. 14, No. 5 (2003), pp. 757-775.
  DOI: 10.1142/S0129054103002011
  Preprint quant-ph/0211014
• Gernot Alber, Thomas Beth, Christopher Charnes, Aldo Delgado, Markus Grassl, and Michael Mussinger,
  "Detected-jump-error-correcting quantum codes, quantum error designs, and quantum computation",
  Physical Review A, vol. 68, no. 1, July 2003, 012316.
  DOI: 10.1103/PhysRevA.68.012316
  Preprint quant-ph/0208140
• Thomas Beth, Christopher Charnes, Markus Grassl, Gernot Alber, Aldo Delgado, and Martin Mussinger,
  "A New Class of Designs Which Protect against Quantum Jumps",
  Designs, Codes and Cryptography, vol. 29, no. 1-3, pp. 51-70, 2003.
  DOI: 10.1023/A:1024188005329
• Gernot Alber, Thomas Beth, Christopher Charnes, Aldo Delgado, Markus Grassl, and Martin Mussinger,
  "Stabilizing Distinguishable Qubits against Spontaneous Decay by Detected-Jump Correcting Quantum Codes",
  Physical Review Letters, vol. 86, no. 19, May 7, 2001, pp. 4402-4405.
  DOI: 10.1103/PhysRevLett.86.4402
  Preprint quant-ph/0103042
• Eli Biham, Ofer Biham, David Biron, Markus Grassl, Daniel A. Lidar, and Daniel Shapira,
  "Analysis of Generalized Grover Quantum Search Algorithms Using Recursion Equations",
  Physical Review A, vol. 63, 012310, January 2001, 8 pages.
  DOI: 10.1103/PhysRevA.63.012310
  Preprint quant-ph/0010077
• Markus Grassl and Thomas Beth,
  "Cyclic Quantum Error-Correcting Codes and Quantum Shift Registers",
  Proceedings of the Royal Society London Series A, vol. 456, no. 2003, 8^th November 2000, pp. 2689-2706.
  DOI: 10.1098/rspa.2000.0633
  Preprint quant-ph/9910061
• Eli Biham, Ofer Biham, David Biron, Markus Grassl, and Daniel A. Lidar,
  "Grover's Quantum Search Algorithm for Arbitrary Initial Amplitude Distribution",
  Physical Review A, vol. 60, no. 4, October 1999, pp. 2742-2745.
  DOI: 10.1103/PhysRevA.60.2742
  (PostScript file, pdf file, © 1999 The American Physical Society)
  Preprint quant-ph/9807027
• Barbara M. Terhal, Isaac L. Chuang, David P. DiVincenzo, Markus Grassl, and John A. Smolin,
  "Simulating quantum operations with mixed environments",
  Physical Review A, vol. 60, no. 2, August 1999, pp. 881-885.
  DOI: 10.1103/PhysRevA.60.881
  (PostScript file, pdf file, © 1999 The American Physical Society)
  Preprint quant-ph/9806095
• Markus Grassl, Martin Rötteler, and Thomas Beth,
  "Computing local invariants of quantum-bit systems",
  Physical Review A, vol. 58, no. 3, September 1998, pp. 1833-1839.
  (PostScript file, pdf file, © 1998 The American Physical Society)
  DOI: 10.1103/PhysRevA.58.1833 Preprint quant-ph/9712040
• Thomas Beth and Markus Grassl,
  "The Quantum Hamming and Hexacodes",
  Fortschritte der Physik,
  Special Focus Issue Quantum Computing/Quantum Cryptography Message Coding with the Help of Quantum Mechanics,
  vol. 46, no. 4/5, 1998, pp. 459-491. (Table of Contents, © 1998 Wiley-VCH)
  DOI: 10.1002/(SICI)1521-3978(199806)46:4/5<459::AID-PROP459>3.0.CO;2-H
• Markus Grassl, Thomas Beth, and Thomas Pellizzari,
  "Codes for the Quantum Erasure Channel",
  Physical Review A, vol. 56, no. 1, July 1997, pp. 33-38.
  DOI: 10.1103/PhysRevA.56.33
  (PostScript file, pdf file, © 1997 The American Physical Society)
  Preprint quant-ph/9610042
• Thomas Pellizzari, Thomas Beth, Markus Grassl, Jörn Müller-Quade,
  "Stabilization of Quantum States in Quantum Optical Systems",
  Physical Review A, vol. 54, no. 4, October 1996, pp. 2698-2702.
  DOI: 10.1103/PhysRevA.54.2698
  (PostScript file, pdf file, © 1996 The American Physical Society)
  

• Markus Grassl, Sirui Lu, and Bei Zeng,
  "Codes for simultaneous transmission of quantum and classical information",
  in: Proceedings 2017 IEEE International Symposium on Information Theory (ISIT 2017),
  Aachen, Germany, 25-30 June 2017, pp. 1718-1722.
  DOI: 10.1109/ISIT.2017.8006823
  Preprint arXiv:1701.06963 [quant-ph]
• Tyler Jackson, Markus Grassl, and Bei Zeng,
  "Concatenated Codes for Amplitude Damping",
  in: Proceedings 2016 IEEE International Symposium on Information Theory (ISIT 2016),
  Barcelona, Spain, 10-15 July 2016, pp. 2269-2273.
  DOI: 10.1109/ISIT.2016.7541703
  Preprint arXiv:1601.07423 [quant-ph]
• Tyler Jackson, Markus Grassl, and Bei Zeng,
  "Codeword Stabilized Quantum Codes for Asymmetric Channels",
  in: Proceedings 2016 IEEE International Symposium on Information Theory (ISIT 2016),
  Barcelona, Spain, 10-15 July 2016, pp. 2264-2268.
  DOI: 10.1109/ISIT.2016.7541702
  Preprint arXiv:1601.05763 [quant-ph]
• Markus Grassl, Brandon Langenberg, Martin Roetteler, and Rainer Steinwandt,
  "Applying Grover's algorithm to AES: quantum resource estimates",
  in Proceedings of the 7th International Conference on Post-Quantum Cryptography (PQCrypto 2016),
  Fukuoka, Japan, 24-26 February 2016.
  Lecture Notes in Computer Science, vol. 9606, pp. 29-43, Springer, 2016.
  DOI: 10.1007/978-3-319-29360-8_3
  Preprint arXiv:1512.04965 [quant-ph]
• Markus Grassl and Martin Rötteler,
  "Quantum MDS Codes over Small Fields",
  in Proceedings 2015 IEEE International Symposium on Information Theory (ISIT 2015),
  Hong Kong, 14-19 June 2015, pp. 1104-1108.
  DOI: 10.1109/ISIT.2015.7282626
  Preprint arXiv:1502.05267 [quant-ph]
• Markus Grassl, Zhaohui Wei, Zhang-Qi Yin, and Bei Zeng,
  "Quantum error-correcting codes for amplitude damping",
  in Proceedings 2014 IEEE International Symposium on Information Theory (ISIT 2014),
  Honolulu, USA, 29 June-4 July 2014, pp. 906-910.
  DOI: 10.1109/ISIT.2014.6874964
• Salman Beigi, Jianxin Chen, Markus Grassl, Zhengfeng Ji, Qiang Wang, and Bei Zeng,
  "Symmetries of Codeword Stabilized Quantum Codes",
  in Proceedings 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013),
  Guelph, Canada, May 2013, pp. 192-206.
  DOI: 10.4230/LIPIcs.TQC.2013.192
  Preprint arXiv:1303.7020 [quant-ph]
• Martianus Frederic Ezerman and Markus Grassl,
  "Asymmetric quantum codes detecting a single amplitude error",
  in Proceedings 2013 IEEE International Symposium on Information Theory (ISIT 2013),
  Istanbul, Turkey, 7-12 July 2013, pp. 922-926.
  DOI: 10.1109/ISIT.2013.6620361
• Markus Grassl and Martin Rötteler,
  "Leveraging Automorphisms of Quantum Codes for Fault-Tolerant Quantum Computation",
  in Proceedings 2013 IEEE International Symposium on Information Theory (ISIT 2013),
  Istanbul, Turkey, 7-12 July 2013, pp. 534-538.
  DOI: 10.1109/ISIT.2013.6620283
  Preprint arXiv:1302.1035 [quant-ph]
• Yun-Jiang Wang, Bei Zeng, Markus Grassl, and Barry C. Sanders,
  "Stabilizer formalism for generalized concatenated quantum codes",
  in Proceedings 2013 IEEE International Symposium on Information Theory ( Istanbul, Turkey, 7-12 July 2013, pp. 529-533.
  DOI: 10.1109/ISIT.2013.6620282
  Preprint arXiv:1309.5598 [quant-ph]
• Markus Grassl,
  "Variations on Encoding Circuits for Stabilizer Quantum Codes",
  in Proceedings Third International Workshop Coding and Cryptology (IWCC 2011),
  Qingdao, China, May 30 - June 3, 2011,
  Lecture Notes in Computer Science, vol. 6639, pp. 142-158, Springer, 2011.
  DOI: 10.1007/978-3-642-20901-7_9
• Markus Grassl and Martin Rötteler,
  "On encoders for quantum convolutional codes",
  in Proceedings 2010 IEEE Information Theory Workshop (ITW 2010),
  Dublin, Irland, September 2010.
  DOI: 10.1109/CIG.2010.5592857
• Runyao Duan, Markus Grassl, Zhengfeng Ji, and Bei Zeng,
  "Multi-Error-Correcting Amplitude Damping Codes",
  in Proceedings 2010 IEEE International Symposium on Information Theory (ISIT 2010),
  Austin, USA, June 2010, pp. 2672-2676.
  Preprint arXiv:1001.2356 [quant-ph]
  DOI: 10.1109/ISIT.2010.5513648
• Yunfan Li, Ilya Dumer, Markus Grassl, and Leonid P. Pryadko,
  "Clustered Bounded-Distance Decoding of Codeword-Stabilized Quantum Codes",
  in Proceedings 2010 IEEE International Symposium on Information Theory (ISIT 2010),
  Austin, USA, June 2010, pp. 2662-2666. DOI: 10.1109/ISIT.2010.5513671
• Markus Grassl, Peter W. Shor, and Bei Zeng,
  "Generalized Concatenation for Quantum Codes",
  in Proceedings 2009 IEEE International Symposium on Information Theory (ISIT 2009),
  Seoul, Korea, June/July 2009, pp. 953-957.
  DOI: 10.1109/ISIT.2009.5205592
  Preprint arXiv:0905.0428v1 [quant-ph]
• Markus Grassl,
  "Computing Equiangular Lines in Complex Space",
  in Proceedings Mathematical Methods in Computer Science (MMICS 2008),
  Karlsruhe, Germany, 17.-19. December 2008,
  Lecture Notes in Computer Science, vol. 5393, pp. 89-104, Springer, 2008.
  DOI: 10.1007/978-3-540-89994-5_8
• Markus Grassl and Martin Rötteler,
  "Quantum Goethals-Preparata Codes",
  in Proceedings 2008 IEEE International Symposium on Information Theory (ISIT 2008),
  Toronto, Canada, July 2008, pp. 300-304.
  DOI: 10.1109/ISIT.2008.4594996
  Preprint arXiv:0801.2150v1 [quant-ph]
• Markus Grassl and Martin Rötteler,
  "Non-Additive Quantum Codes from Goethals and Preparata Codes",
  in Proceedings IEEE Information Theory Workshop 2008 (ITW 2008),
  Porto, Portugal, May 2008, pp. 396-400.
  DOI: 10.1109/ITW.2008.4578694
  Preprint arXiv:0801.2144v1 [quant-ph]
• Markus Grassl and Martin Rötteler,
  "Constructions of Quantum Convolutional Codes",
  in Proceedings 2007 IEEE International Symposium on Information Theory (ISIT 2007),
  Nice, France, June 2007, pp. 816-820.
  DOI: 10.1109/ISIT.2007.4557325
  Preprint quant-ph/0703182
• Salah A. Aly, Markus Grassl, Andreas Klappenecker, Martin Rötteler, Pradeep Kiran Sarvepalli,
  "Quantum Convolutional BCH Codes",
  in Proceedings 2007 Canadian Workshop on Information Theory (CWIT 2007),
  Edmonton, Canada, June 2007, pp. 180-183.
  DOI: 10.1109/CWIT.2007.375730
  Preprint quant-ph/0703113
• Markus Grassl and Martin Rötteler,
  "Non-catastrophic Encoders and Encoder Inverses for Quantum Convolutional Codes",
  in Proceedings 2006 IEEE International Symposium on Information Theory (ISIT 2006),
  Seattle, USA, July 2006, pp. 1109-1113.
  DOI: 10.1109/ISIT.2006.261956
  Preprint quant-ph/0602129
• Markus Grassl,
  "Constructing Matrix Representations of Finite Groups in Characteristic Zero",
  in: Proceedings 10th Rhine Workshop on Computer Algebra (RWCA06),
  Basel, 16./17. March 2006, pp. 143-148.
• Markus Grassl and Martin Rötteler,
  "Quantum Block and Convolutional Codes from Self-orthogonal Product Codes",
  in Proceedings 2005 IEEE International Symposium on Information Theory (ISIT 2005),
  Adelaide, Australia, September 2005, pp. 1018-1022.
  DOI: 10.1109/ISIT.2005.1523493
  Preprint quant-ph/0703181
• Markus Grassl,
  "On SIC-POVMs and MUBs in Dimension 6",
  in Proceedings ERATO Conference on Quantum Information Science 2004 (EQIS 2004),
  Tokyo, Sept. 5, 2004, pp. 60-61.
  Preprint quant-ph/0406175
  (pdf-file of the talk)
• Martin Rötteler, Markus Grassl, and Thomas Beth,
  "On Quantum MDS Codes",
  in Proceedings 2004 IEEE International Symposium on Information Theory (ISIT 2004),
  Chicago, USA, June/July 2004, p. 356.
  DOI: 10.1109/ISIT.2004.1365393
• Markus Grassl, Thomas Beth, and Martin Rötteler,
  "On optimal quantum codes",
  Erato Conference on Quantum Information Science 2003 (EQIS 03),
  Kyoto, Japan, pp. 23-24, 5. September 2003.
  (pdf-file of the slides)
• Markus Grassl, Andreas Klappenecker, and Martin Rötteler,
  "Graphs, Quadratic Forms, and Quantum Codes",
  in Proceedings 2002 IEEE International Symposium on Information Theory (ISIT 2002),
  Lausanne, Switzerland, June/July 2002, p. 45.
  DOI: 10.1109/ISIT.2002.1023317
  Preprint quant-ph/0703112, (local PostScript file)
• Markus Grassl, Willi Geiselmann, and Thomas Beth,
  "Quantum Reed-Solomon Codes",
  in Proceedings Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC-13),
  Lecture Notes in Computer Science, vol. 1719, pp. 231-244. Springer, 1999.
  DOI: 10.1007/3-540-46796-3_23
  Preprint quant-ph/9910059, transparencies of the talk
• Markus Grassl and Thomas Beth,
  "Relations between Classical and Quantum Error-Correcting Codes",
  in Proceedings Workshop "Physik und Informatik" ,
  DPG-Frühjahrstagung, Heidelberg, März 1999, pp. 45-57.
  (pdf-file)
• David Biron, Ofer Biham, Eli Biham, Markus Grassl, Daniel A. Lidar,
  "Generalized Grover Search Algorithm for Arbitrary Initial Amplitude Distribution",
  presented at 1st NASA International Conference on Quantum Computing & Quantum Communications (NASA QCQC98),
  Palm Springs, 17.-20. February 1998.
  Lecture Notes in Computer Science, vol 1509, pp. 140-147. Springer, 1998. Preprint quant-ph/9801066
• Thomas Beth and Markus Grassl,
  "Improved Decoding of Quantum Error Correcting Codes from Classical Codes",
  in Proceedings PhysComp96, Boston, November 1996, pp. 28-31, (InterJournal).

• Markus Grassl,
  "Entanglement Polytopes of Some Five Qubit States"
  Workshop on Quantum Marginals and Numerical Range (WQMNR),
  University of Guelph, Guelph, Canada, 17.08.2015.
  slides
• Markus Grassl,
  "Unextendible Sets of Mutually Unbiased Bases (MUBs)"
  Systems of Lines: Applications of Algebraic Combinatorics
  Worcester Polytechnic Institute, Worcester, MA, USA, 10.08.2015.
  slides
• Markus Grassl,
  "Maximal Partial Symplectic Spreads over Small Fields."
  Algebraic Combinatorics and Applications (ALCOMA 15)
  Kloster Banz, Germany, 19.03.2015.
• Markus Grassl,
  "Algebraic characterization of entanglement classes",
  Perimeter Institute Quantum Discussions, Perimeter Institute, Waterloo, Canada, 19.09.2014 (invited talk).
  pirsa.org/14090070/, slides
• Markus Grassl,
  "Entanglement classes from an algebraic point of view",
  Quantum Information & Geometric Statistics Seminar,
  Department of Mathematics & Statistics,
  University of Guelph, Guelph, Canada, 16.09.2014 (invited talk).
• Markus Grassl,
  "Algebraic Characterization of Entanglement Classes: Computational Aspects",
  Quantum Architectures and Computation Group,
  Microsoft Research, Redmond, USA, 08.09.2014 (invited talk).
• Markus Grassl.
  "Union Stabilizer Codes: A Framework for Non-Additive Quantum Codes",
  Korea University, Seoul, Korea, 19.11.2012 (invited talk).
• Markus Grassl.
  "Quantum Codes from Classical Codes: An overview",
  2012 KIAS International Conference on Coding Theory and Applications,
  Korea Institute for Advenced Study, Seoul, Korea, 16.11.2012 (invited talk).
• Markus Grassl,
  "On quantum versions of the McEliee cryptosystem",
  Dagstuhl Seminar Cryptanalysis, Schloss Dagstuhl, Germany, 11.09.2013.
  Transparencies of the talk.
• Markus Grassl,
  "Quantum Error Correction meets Discrete Math",
  Institute for Telecommunications and Applied Information Theory, Universität Ulm, Germany, 08.09.2010 (invited talk).
• Markus Grassl,
  "Quantum MDS Codes of Distance Three",
  Algebraic Combinatorics and Applications (ALCOMA10),
  Thurnau, Germany, 17.04.2010.
  Transparencies of the talk.
• Markus Grassl,
  "Quantum Error Correction meets Discrete Math",
  Joint CQT-CCRG Workshop on Quantum Error Correction,
  Nanyang Technological University, Singapore, 23.02.2010.
• Markus Grassl,
  "Generalised Concatenated Quantum Codes",
  Joint CQT-CCRG Workshop on Quantum Error Correction,
  Nanyang Technological University, Singapore, 24.02.2010.
• Markus Grassl,
  "Computational Aspects of Invariants of Multipartite Quantum Systems",
  School and Workshop Mathematical foundations of quantum information, Sevilla, Spain, 27.11.2009.
  Transparencies of the talk.
• Markus Grassl,
  "Quantum State Tomography & Unextendible Mutually Unbiased Bases",
  Technische Universität München, 26.08.2009 (invited talk).
• Markus Grassl,
  "Unextendible Mutually Unbiased Bases",
  School of Mathematical Sciences, Capital Normal University, Beijing, China, 30.07.2009 (invited talk).
• Markus Grassl,
  "Local Equivalence of Quantum States & Polynomial Invariants",
  School of Mathematical Sciences, Capital Normal University, Beijing, China, 25.07.2009 (invited talk).
• Markus Grassl,
  "Unextendible Mutually Unbiased Bases",
  International Conference on Quantum Foundation and Technology: Frontier and Future (ICQFT 09),
  Shanghai, China, 19.07.2009.
• Markus Grassl,
  "Beyond Stabilizer Quantum Codes",
  Korea Institute for Advanced Study, Seoul, Korea, 26.06.2009 (invited talk).
• Markus Grassl,
  "Designs of Quantum States: An Overview",
  Korea Institute for Advanced Study, Seoul, Korea, 25.06.2009 (invited talk).
• Markus Grassl, Peter Shor, Graeme Smith, John Smolin, and Bei Zeng,
  "Generalized Concatenated Quantum Codes",
  11th Annual Meeting, Southwest Quantum Information and Technology (SQuInT),
  Seattle, WA, USA, 20.02.2009.
• Markus Grassl,
  "Mutually unbiased bases & SIC-POVMs - An Overview",
  Quantum Information Seminar,
  University of British Columbia, Vancouver, BC, Canada. 18.02.2009 (invited talk).
• Markus Grassl,
  "Describing Entanglement Using Invariant Theory",
  IQOQI Group Seminar, 17.10.2007.
  Transparencies of the talk.
• Markus Grassl,
  "Quantum Convolutional Codes",
  International DFG Workshop Quantum Information Processing,
  Mar. 28-30, 2007, Cochem, 30.03.2007 (invited talk).
  Transparencies of the talk.
• Markus Grassl,
  "Convolutional and Block Quantum Error-Correcting Codes",
  2006 IEEE Information Theory Workshop, Oct. 22-26, 2006, Chengdu, China, pp. 144-148,
  24.10.2006 (invited talk).
  DOI: 10.1109/ITW2.2006.323775
• Markus Grassl and Martin Rötteler,
  "Quantum Convolutional Codes: Encoders and Structural Properties",
  Forty-Fourth Annual Allerton Conference, Sept. 27-29, 2006, Allerton House, UIUC, Illinois, USA, pp. 510-519.
• Markus Grassl,
  "Finding equiangular lines in complex space",
  Magma 2006,
  Technische Universität, Berlin, 31.07.2006.
• Markus Grassl,
  "Quantum Error-Correcting Codes",
  3rd Central European Quantum Information Processing Workshop (CEQIP 06),
  Znojmo, 07.05.2006 (invited talk).
  Transparencies of the talk.
• Markus Grassl,
  "Quantum Designs: MUBs, SICPOVMs, and (a little bit) More",
  3rd Central European Quantum Information Processing Workshop (CEQIP 06),
  Znojmo, 07.05.2006 (invited talk).
  Transparencies of the talk.
• Markus Grassl,
  "Quantum Error Correction",
  International School of Physics "Enrico Fermi",
  Course CLXII on Quantum Computers, Algorithms and Chaos,
  Varenna, 12.07.2005 (invited talk).
  Transparencies of the talk.
• Markus Grassl,
  "Quantum Error Correction",
  LMS Workshop on Quantum Information Theory,
  University of York, 07.07.2005 (invited talk).
  Transparencies of the talk.
• Markus Grassl,
  "Was können Quantencomputer?",
  Informatikkolloqium & Mathematisches Kolloquium, Fachhochschule Nürnberg, 12.05.2005 (invited talk).
• Markus Grassl,
  "Group Symmetries and Discrete Wigner Functions",
  Theoretisch-Physikalisches Kolloquium, Abteilung für Quantenphysik, Universität Ulm, 25.11.2004 (invited talk).
• Markus Grassl,
  "From Classical to Quantum Error-Correcting Codes",
  Imai Laboratory, Institute of Industrial Science, University of Tokyo, 01.09.2004 (invited talk).
• Markus Grassl,
  "QECC Beyond Qubits",
  International DFG Workshop Hirschegg
  Quantum Entanglement - from Error Correction to Secure Key Distribution, 02.04.2004 (invited talk).
• Markus Grassl,
  "Quantum Error Correction - Discrete Math. Meets Physics",
  Computational Algebra Seminar,
  School of Mathematics and Statistics, University of Sydney, 05.03.2004 (invited talk).
  Transparencies: (PDF, PostScript).
• Markus Grassl,
  "Quantum Error Correction - not only for qubits",
  Kolloquium des DFG-Schwerpunktprogramms Quanten-Informationsverarbeitung (SPP 1078),
  Physik-Zentrum Bad Honnef, 29.01.2004 (invited talk).
• Markus Grassl,
  "Quantenschaltkreise für Quantencodes über höherdimensionalen Quantensystemen",
  Oberseminar: Aktuelle Probleme der Theoretischen Quanteninformation und Quantenoptik,
  Ludwig-Maximilians-Universität, München, 17.01.2003 (invited talk).
• Markus Grassl,
  "Entanglement and Invariant Theory"
  Quantum Computation and Information Seminar, UC Berkeley, 19.11.2002.
  (transparencies of the talk).
• Markus Grassl,
  "Quantum Error-Correcting Codes"
  3rd QIPC Workshop, Dublin, 16.09.2002 (invited talk).
  (transparencies of the talk).
• Markus Grassl,
  "Quantum computation, error-correction, and invariant theory",
  MSRI Postdoc Seminar, The Mathematical Sciences Research Institute (MSRI), Berkeley, 03.09.2002.
• Markus Grassl,
  "Quantum information, entanglement and invariant theory",
  Oberseminar Stochastik, Abteilung für Wahrscheinlichkeitstheorie und Mathematische Statistik,
  Universität Bonn, 04.07.2002 (invited talk).
• Markus Grassl,
  "Quantum Error-Correcting Codes",
  Computational Algebra Seminar, School of Mathematics and Statistics, University of Sydney, April 4, 2002.
• Markus Grassl,
  "Quantum Computation - Mathematical Framework and Basic Problems",
  Computational Algebra Seminar, School of Mathematics and Statistics, University of Sydney, March 28, 2002.
• Markus Grassl,
  "Error Correction for Quantum Computing Devices",
  NOSTACK Workshop on the Implications of Recent Results in Quantum Computing for the Future of Information Security.
  BSI, Schlosshotel Weyberhöfe, 21. Januar 2002
• Markus Grassl,
  "Quantum error-correcting codes for detected quantum jumps",
  June 20, 2001. EuroWorkshop "Quantum Computer Theory: in search of viable Optimal design",
  Institute for Scientific Interchange (ISI), Torino, June 18-30, 2001.
• Markus Grassl,
  "Entanglement & Polynomials"
  Think-Tank on "Computer Science Aspects",
  Institute for Scientific Interchange (ISI), Torino, June 19-30, 2000.
• Markus Grassl,
  "Methods of Quantum Error Correction",
  Proceedings of the 2000 IEEE International Symposium on Circuits and Systems (ISCAS 2000), Vol. 1, pp. 740-743, Genève, 28-31 Mai 2000.
  DOI: 10.1109/ISCAS.2000.857202
  (pdf-File© 2000 IEEE, transparencies of the talk)
• Markus Grassl,
  "An ensemble of properties of classical codes useful for quantum codes",
  DIMACS Workshop on Codes and Association Schemes,
  November 9-12, 1999, DIMACS Center, Rutgers University, Piscataway, NJ.
  (transparencies of the talk)
• Markus Grassl and Thomas Beth,
  "Quantum BCH Codes",
  in Proceedings X. International Symposium on Theoretical Electrical Engineering (ISTET99),
  Magdeburg, September 6-9, 1999, pp. 207-212.
  Preprint quant-ph/9910060
• Markus Grassl,
  "Description of Multi-Particle Entanglement through Polynomial Invariants",
  Isaac Newton Institute for Mathematical Sciences,
  Workshop on Complexity, Computation and the Physics of Information:
  Quantum Computation and Algorithms, 22 July 1999. (Abstract/ transparencies of the talk).
• Markus Grassl,
  "Algorithms for Encoding and Decoding Quantum Error-Correcting Codes,
  Dagstuhl Seminar Quantum Algorithms,
  Dagstuhl, 10.-15. May 1998 (transparencies of the talk).
• Markus Grassl und Thomas Beth,
  "Codierung und Decodierung zyklischer Quantencodes",
  in Fachtagung Informations- und Mikrosystemtechnik,
  Magdeburg, 25.-27. März 1998, pp. 137-144 (PostScript-File, Folien).
  (siehe auch Fachtagung Informations- und Mikrosystemtechnik).
• Andreas Klappenecker, Thomas Beth und Markus Grassl,
  "Wavelettransformationen auf Quantenrechnern",
  in Fachtagung Informations- und Mikrosystemtechnik,
  Magdeburg, 25.-27. März 1998, S. 145-152 (PostScript-File).
  (siehe auch Fachtagung Informations- und Mikrosystemtechnik).
• Markus Grassl, Martin Rötteler, and Thomas Beth,
  "Computation of Polynomial Invariants of Quantum States and Quantum Codes",
  Algorithms in Quantum Information Processing '98 (AQIP'98),
  BRICS, University of Aarhus, 11.-16. January 1998 (invited talk).
• Thomas Beth, Markus Grassl, and Jörn Müller-Quade,
  "Algebra for Optical Computing and Quantum Computing",
  The 2nd IMACS Conference on Applications of Computer Algebra,
  RISC, Hagenberg, July 1996, p. 28 (IMACS).

• Fernando Hernando, Gregorio Quintana-Ortí, and Markus Grassl,
  "Fast Algorithms and Implementations for Computing the Minimum Distance of Quantum Codes",
  preprint arXiv:2408.10743 [quant-ph], 21.08.2024.
• Martianus Frederic Ezerman, Markus Grassl, San Ling, Ferruh Özbudak, and Buket Özkaya,
  "Characterization of Nearly Self-Orthogonal Quasi-Twisted Codes and Related Quantum Codes",
  preprint arXiv:2405.15057 [quant-ph], 23.05.2024.
• Ingemar Bengtsson, Markus Grassl, and Gary McConnell,
  "SIC-POVMs from Stark Units: Dimensions n²+3=4p, p prime",
  preprint arXiv:2403.02872 [quant-ph], 05.03.2024.
• Tushita Prasad and Markus Grassl,
  "Codes for entanglement-assisted classical communication",
  preprint arXiv:2310.19774 [quant-ph], 31.10.2023.
• Gaojun Luo, Martianus Frederic Ezerman, Markus Grassl, and San Ling,
  "How Much Entanglement Does a Quantum Code Need?",
  preprint arXiv:2207.05647 [quant-ph], 13.07.2022.
• Markus Grassl and Thomas Beth,
  "On the Complexity of Quantum Searching Using Complex Queries",
  Report No. quant-ph/9706052, 23.06.1997.
• Markus Grassl and Thomas Beth,
  "A Note on Non-Additive Quantum Codes",
  Report No. quant-ph/9703016, 10.03.1997.

• Alejandro P. Nicolás, Consuelo Martínez López, and Markus Grassl,
  "Clifford Codes and Fully Ramified Characters",
  II Iberian Mathematical Meeting, Badajoz, 3.-5.10.2008.
  Book of Abstracts, pp. 137-138.
• Markus Grassl,
  "Quantum Designs and State Tomography in Small Dimensions",
  The Ninth Workshop on Quantum Information Processing (QIP 2006), Paris, 16.-20.01.2006.
• Robert Zeier, Markus Grassl, and Thomas Beth,
  "Gate Simulation and Lower Bounds",
  Kolloquium des DFG-Schwerpunktprogramms Quanten-Informationsverarbeitung (SPP 1078),
  Physik-Zentrum Bad Honnef, 29./30.01.2004.
• R. F. Werner, D. Schlingemann, M. Reimpell, Th. Beth, M. Grassl, A. Klappenecker, and M. Roetteler,
  "Quantum error correction: Graph codes and stabilizer codes",
  Kolloquium des DFG-Schwerpunktprogramms Quanten-Informationsverarbeitung (SPP 1078),
  Physik-Zentrum Bad Honnef, 28.-30.01.2002.

Chapters in Books

• Markus Grassl,
  "Searching for linear codes with large minimum distance",
  in: Wieb Bosma and John Cannon,
  Discovering Mathematics with Magma - Reducing the Abstract to the Concrete,
  Heidelberg: Springer, 2006, pp. 287-313.
  DOI: 10.1007/978-3-540-37634-7
• Thomas Beth, Markus Grassl, and Dejan E. Lazic,
  "How Serious are the Clouds Cast on the McEliece Public-Key Cryptosystem?",
  in: Bahram Honary, Michael Darnell, and Paddy Farrell (eds.),
  Communications Coding and Signal Processing, New York: Wiley, 1997, pp. 214-221.

Journal Articles

• Markus Grassl, Ferruh Özbudak, Buket Özkaya, and Burcu Gülmez Temür,
  "Complete characterization of a class of permutation trinomials in characteristic five".
  Cryptography and Communications, vol. 16, no. 4, July 2024, pp. 825-841.
  DOI: 10.1007/s12095-024-00705-2
• Nuh Aydin, Nicholas Connolly, and Markus Grassl,
  "Some results on the structure of constacyclic codes and new linear codes over GF(7) from quasi-twisted codes".
  Advances in Mathematics of Communications, vol. 11, no. 1, February 2017, pp. 245-258.
  DOI: 10.3934/amc.2017016
• Markus Grassl, Peter Shor, Graeme Smith, John Smolin, and Bei Zeng,
  "New Constructions of Codes for Asymmetric Channels via Concatenation",
  IEEE Transactions on Information Theory, vol. 61, no. 4, April 2015, pp. 1879-1886.
  DOI: 10.1109/TIT.2015.2401567
  Preprint arXiv:1310.7536 [cs.IT]
• Mubarak Jibril, Sergey V. Bezzateev, Martin Tomlinson, Markus Grassl, and Mohammed Zaki Ahmed,
  "A Generalized Construction of Extended Goppa Codes",
  IEEE Transactions on Information Theory, vol. 60, no. 9, September 2014, pp. 5296-5303.
  DOI: 10.1109/TIT.2014.2330814
• Martin Tomlinson, Mubarak Jibril, Cen Tjhai, Sergey V. Bezzateev, Markus Grassl, and Mohammed Zaki Ahmed,
  "A Generalised Construction and Improvements on Nonbinary Codes from Goppa Codes",
  IEEE Transactions on Information Theory, vol. 59, no. 11, November 2013, pp. 7299-7304.
  DOI: 10.1109/TIT.2013.2276626
• Martin Tomlinson, Mubarak Jibril, Cen Tjhai, Markus Grassl, and Mohammed Zaki Ahmed,
  "New Binary Codes From Extended Goppa Codes"
  Designs, Codes and Cryptography, vol. 70, no. 1-2, January 2014, pp. 149-156, (published online 28 June 2012).
  DOI: 10.1007/s10623-012-9707-1
• Cen J. Tjhai, Martin Tomlinson, and Markus Grassl,
  "There Is No Binary [35, 10, 13] Code",
  IEEE Transactions on Information Theory, vol. 57, no. 9, September 2011, pp. 6094-6096.
  DOI: 10.1109/TIT.2010.2100803
• Martianus Frederic Ezerman, Markus Grassl, and Patrick Solé,
  "The Weights in MDS Codes",
  IEEE Transactions on Information Theory, vol. 57, no. 1, January 2011, pp. 392-396.
  DOI: 10.1109/TIT.2010.2090246
  Preprint arXiv:0908.1669 [cs.IT], 12.08.2009
  
• Markus Grassl, Ivana Ilic, Spyros Magliveras, and Rainer Steinwandt,
  "Cryptanalysis of the Tillich-Zémor hash function",
  Journal of Cryptology, vol. 24, no. 1, January 2011, pp. 148-156 (online publication 16 March 2010).
  DOI: 10.1007/s00145-010-9063-0.
  Cryptology ePrint Archive: Report 2009/376, 30.07.2009
• Markus Grassl and Rainer Steinwandt,
  "Cryptanalysis of an Authentication Scheme Using Truncated Polynomials",
  Information Processing Letters, vol. 109, no. 15, July 2009, pp. 861-863.
  DOI: 10.1016/j.ipl.2009.04.011
  Cryptology ePrint Archive: Report 2008/245, 30.05.2008.
• Markus Grassl and T. Aaron Gulliver,
  "On circulant self-dual codes over small fields",
  Designs, Codes and Cryptography, vol. 52, no. 1, July 2009, pp. 57-81.
  DOI: 10.1007/s10623-009-9267-1
• C. Tjhai, M. Tomlinson, M. Grassl, R. Horan, M. Ahmed, and M. Ambroze,
  "New linear codes derived from binary cyclic codes of length 151",
  IEE Proceedings - Communications, vol. 153, no. 5, October 2006, pp. 581-585.
  DOI: 10.1049/ip-com:20050560, IEEE Xplore
• Iliya Bouyukliev, Markus Grassl, and Zlatko Varbanov,
  "New bounds for n₄(k,d) and classification of some optimal codes over GF(4)",
  Discrete Mathematics, vol. 281, no. 1-3, 2004, pp. 43-66.
  DOI: 10.1016/j.disc.2003.11.003
• Markus Grassl,
  "New Binary Codes from a Chain of Cyclic Codes",
  IEEE Transactions on Information Theory, vol. 47, no. 3, March 2001, pp. 1178-1181.
  DOI: 10.1109/18.915676

Refereed Proceedings and Talks

• Markus Grassl, Peter Shor, Graeme Smith, John Smolin, and Bei Zeng,
  "New Constructions of Codes for Asymmetric Channels via Concatenation",
  in Proceedings 2012 IEEE International Symposium on Information Theory (ISIT 2012), Cambridge, MA, USA, July 2012, pp. 751-755.
  DOI: 10.1109/ISIT.2012.6284659
  Preprint arXiv:1310.7536 [cs.IT]
• Markus Grassl and Sunghyu Han,
  "Computing Extensions of Linear Codes using a Greedy Algorithm",
  in Proceedings 2012 IEEE International Symposium on Information Theory (ISIT 2012), Cambridge, MA, USA, July 2012, pp. 1568-1572.
  DOI: 10.1109/ISIT.2012.6283537
• Martin Tomlinson, Mubarak Jibril, Cen Tjhai, Markus Grassl, and Mohammed Zaki Ahmed,
  "New Binary Codes From Extended Goppa Codes",
  in Proceedings 3rd International Castle Meeting on Coding Theory and Applications (3ICMTA), Cardona, Spain, September 2011, pp. 279-284.
• Markus Grassl and T. Aaron Gulliver,
  "On Self-Dual MDS Codes",
  in Proceedings 2008 IEEE International Symposium on Information Theory (ISIT 2008),
  Toronto, Canada, July 2008, pp. 1954-1957.
  DOI: 10.1109/ISIT.2008.4595330
• C. Tjhai, M. Tomlinson, and M. Grassl,
  "Chains of Cyclic Codes, Construction X and Incremental Redundancy",
  in Proceedings IEEE Information Theory Workshop 2008 (ITW 2008),
  Porto, Portugal, May 2008, pp. 323-327.
  DOI: 10.1109/ITW.2008.4578678
• Markus Grassl,
  "Computing Extensions of Linear Codes",
  in Proceedings 2007 IEEE International Symposium on Information Theory (ISIT 2007),
  Nice, France, June 2007, pp. 476-480.
  DOI: 10.1109/ISIT.2007.4557095
  Preprint arXiv:0704.2596v1 [cs.IT]
• Rumen Daskalov and Markus Grassl,
  "New cyclic and quasi-cyclic quaternary linear codes",
  in Proceedings Fifth International Workshop on Optimal Codes and Related Topics, (OC 2007)
  Balchik, Bulgaria, June 2007, pp. 56-61.
• Greg White and Markus Grassl,
  "A New Minimum Weight Algorithm for Additive Codes",
  in Proceedings 2006 IEEE International Symposium on Information Theory (ISIT 2006),
  Seattle, USA, July 2006, pp. 1119-1123.
  DOI: 10.1109/ISIT.2006.261958
• Markus Grassl and Greg White,
  "New Codes from Chains of Quasi-cyclic Codes",
  in Proceedings 2005 IEEE International Symposium on Information Theory (ISIT 2005),
  Adelaide, Australia, September 2005, pp. 2095-2099.
  DOI: 10.1109/ISIT.2005.1523715
• Markus Grassl and Greg White,
  "New Good Linear Codes by Special Puncturings",
  in Proceedings 2004 IEEE International Symposium on Information Theory (ISIT 2004),
  Chicago, USA, June/July 2004, p. 454.
  DOI: 10.1109/ISIT.2004.1365491
• Rainer Steinwandt, Markus Grassl, Willi Geiselmann, and Thomas Beth,
  "Weaknesses in the SL₂(F_2ⁿ) Hashing Scheme",
  in Advances in Cryptology - Crypto 2000,
  Lecture Notes in Computer Science, vol. 1880, pp. 288-301. Springer, 2000.
  See also E.I.S.S.-Report 01/00.
  DOI: 10.1007/3-540-44598-6_18
• Markus Grassl.
  "On the Minimum Distance of some Quadratic-Residue Codes",
  in Proceedings 2000 IEEE International Symposium on Information Theory, Sorrento, June 2000, p. 253.
  DOI: 10.1109/ISIT.2000.866551
  Transparencies of the talk.
• Thomas Beth, Markus Grassl, Dejan E. Lazic, and Harald Lukhaub,
  "Probability Density Function of the Line-of-Sight Angle Error",
  in Proceedings 1997 IEEE International Symposium on Information Theory, Ulm, July 1997, p. 308.
  DOI: 10.1109/ISIT.1997.613232
  (PostScript-File).
• Thomas Beth, Markus Grassl, and Dejan E. Lazic,
  "How Serious are the Clouds Cast on the McEliece Public-Key Cryptosystem?",
  in: Proceedings 3rd International Symposium on Communication Theory and Applications, Ambleside, July 1995, pp. 282-288.
• Thomas Beth, Markus Grassl, and Dejan E. Lazic,
  "Decoding Algorithm for Linear Binary Codes Based on the Interpolation Curve",
  in: Proceedings 1994 IEEE International Symposium on Information Theory, Trondheim, June 1994, p. 102.
  DOI: 10.1109/ISIT.1994.394885 IEEEXplore

Other Proceedings and Talks

• Markus Grassl,
  "Searching for good error-correcting codes",
  Discrete Mathematics Seminar,
  Simon Fraser University, Burnaby, BC, Canada, 24.02.2009 (invited talk).
• Markus Grassl,
  "Constructing Good Error-Correcting Codes",
  The Claude Shannon Institute Workshop on Coding & Cryptography,
  Cork, Ireland, 20.05.2008 (invited talk).
• Markus Grassl,
  "Konstruktion von guten linearen Blockcodes",
  Mathematisches Kolloquium, Universität Bayreuth, 02.02.2006 (invited talk).
  Transparencies of the talk.
• Markus Grassl,
  "Constructing Algebraic-Geometric Codes using Magma",
  Workshop Algebraic Geometry and Number Theory with Magma,
  Centre Émile Borel, Institute Henri Poincaré Paris, 07.10.2004 (invited talk).
  Transparencies of the talk.
• Thomas Beth, Martin Grap, Markus Grassl und Dejan E. Lazic,
  "Über die Benutzung von fehlerkorrigierenden Codes zur Authentifikation",
  Deutsche Mathematiker Vereinigung, Jahrestagung, Ulm, 1995, S. 203.
• Dejan E. Lazic, Harald Lukhaub, Thomas Beth, and Markus Grassl,
  "Probability Density Function of the Angle Between Input and Output Vectors of the AWGN Channel",
  in Proceedings ICIAM 95, Hamburg, July 1995, p. 345.
• Thomas Beth, Markus Grassl und Dejan E. Lazic,
  "Universelle Decodierung binärer Blockcodes mit Hilfe der Interpolationsfläche",
  in: Codierung für Quelle, Kanal und Übertragung, ITG Fachbericht 130, vde-Verlag, 1994, S. 195-201.
• Markus Grassl,
  "Decoding Algorithm for Linear Binary Codes Based on the Interpolation Curve",
  in: Proceedings 2nd International Winter Meeting on Coding and Information Theory, Essen, Dezember 1993, S. 12-15.

Preprints

• Reza Dastbasteh, Farzad Padashnick, Pedro M. Crespo, Markus Grassl, and Javad Sharafi,
  "Equivalence of constacyclic codes with shift constants of different orders",
  preprint arXiv:2403.04600 [cs.IT], 07.03.2024.

Studien- und Diplomarbeit

• Markus Grassl, Decodierung binärer linearer Blockcodes im reellen euklidischen Vektorraum,
  Institut für Algorithmen und Kognitive Systeme, Fakultät für Informatik, Universität Karlsruhe, Diplomarbeit, Juni 1994.
• Markus Grassl, Anwendungen der Gruppentheorie in Bereichen der Kanalcodierung: Gruppen-Codes nach Slepian,
  Institut für Algorithmen und Kognitive Systeme, Fakultät für Informatik, Universität Karlsruhe, Studienarbeit, Mai 1993.