QECC [[40,12,4]]
This pure code is based on a linear self-orthogonal code over GF(4)
with generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 a^2 0 a 0 a 0 0 0 a^2 0 1 0 1 0 a^2 0 0 0 a 0 a
0 a^2 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 a^2 0 a 0 a 0 0 0 a^2 0 1 0 1 0 a^2 0 0 0 a 0
a 0 a^2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 a^2 0 a^2 0 a 0 a^2 0 a 0 a 0 0 0 a 0 a^2 0 a^2 0 1
0 a^2 0 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 a^2 0 a^2 0 a 0 a^2 0 a 0 a 0 0 0 a 0 a^2 0 a^2 0
1 0 a^2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 a^2 0 a^2 0 a 0 a^2 0 a 0 a 0 0 0 a 0 a^2 0 a^2
0 1 0 a^2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 a^2 0 a^2 0 a 0 a^2 0 a 0 a 0 0 0 a 0 a^2 0
a^2 0 1 0 a^2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 a^2 0 a 0 a 0 a 0 a 0 1 0 1 0 1 0 a 0 a 0 a 0 a 0
a^2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 a^2 0 a 0 a 0 a 0 a 0 1 0 1 0 1 0 a 0 a 0 a 0 a 0
a^2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 a^2 0 1 0 a^2 0 a^2 0 a 0 0 0 a 0 a 0 a^2 0 a 0 a^2
0 a^2 0 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 a^2 0 1 0 a^2 0 a^2 0 a 0 0 0 a 0 a 0 a^2 0 a 0
a^2 0 a^2 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 a^2 0 1 0 a^2 0 a^2 0 a 0 0 0 a 0 a 0 a^2 0 a 0
a^2 0 a^2 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 a^2 0 1 0 a^2 0 a^2 0 a 0 0 0 a 0 a 0 a^2 0 a
0 a^2 0 a^2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 a^2 0 a 0 a 0 0 0 a^2 0 1 0 1 0 a^2 0 0 0 a 0 a 0
a^2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 a^2 0 a 0 a 0 0 0 a^2 0 1 0 1 0 a^2 0 0 0 a 0 a 0
a^2 0 1]
Matrix with stabilizers/seed generators and circuit for encoding:
Copyright ©
Markus Grassl
(grassl@ira.uka.de)
05.02.2003