QECC [[40,30,4]]

This pure code is based on a linear self-orthogonal code over GF(4) with generator matrix:
[1 0 0 0 0 a^2 a a^2 a a^2 a^2 a^2 a^2 0 1 0 0 1 a 1 0 a^2 0 1 a 0 1 1 1 a 0 a 1 0 a^2 1 1 a^2 a^2 1]
[0 1 0 0 0 a^2 a^2 a a^2 a 1 a^2 a^2 a^2 0 1 0 0 1 a a 0 a^2 0 1 a 0 1 1 1 a^2 0 a 1 0 1 1 1 a^2 a^2]
[0 0 1 0 0 a a^2 a^2 a a^2 0 1 a^2 a^2 a^2 a 1 0 0 1 1 a 0 a^2 0 1 a 0 1 1 0 a^2 0 a 1 a^2 1 1 1 a^2]
[0 0 0 1 0 a^2 a a^2 a^2 a a^2 0 1 a^2 a^2 1 a 1 0 0 0 1 a 0 a^2 1 1 a 0 1 1 0 a^2 0 a a^2 a^2 1 1 1]
[0 0 0 0 1 a a^2 a a^2 a^2 a^2 a^2 0 1 a^2 0 1 a 1 0 a^2 0 1 a 0 1 1 1 a 0 a 1 0 a^2 0 1 a^2 a^2 1 1]

Matrix with stabilizers/seed generators and circuit for encoding:


Copyright © Markus Grassl (grassl@ira.uka.de) 05.02.2003