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