QECC [[19,3,5]]
This pure code is based on a linear self-orthogonal code over GF(4) with generator matrix:
[ 1 0 0 0 0 0 0 a^2 a a^2 0 a^2 a 0 1 a^2 1 a^2 0]
[ 0 1 0 0 0 0 0 a a^2 a^2 0 a^2 a^2 1 1 a 0 a^2 0]
[ 0 0 1 0 0 0 0 1 0 0 0 a^2 0 a a a 1 a 0]
[ 0 0 0 1 0 0 0 0 1 0 0 a^2 1 a^2 a a 1 a^2 1]
[ 0 0 0 0 1 0 0 0 0 1 0 a a^2 1 0 0 a a^2 1]
[ 0 0 0 0 0 1 0 a^2 a a^2 0 1 a a^2 a^2 1 1 1 1]
[ 0 0 0 0 0 0 1 a a^2 a^2 0 1 a a^2 a^2 0 0 0 0]
[ 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1]
Matrix with stabilizers/seed generators and circuit for encoding:
Copyright ©
Markus Grassl
(grassl@ira.uka.de)
05.02.2003