Bounds on the minimum distance of additive quantum codes
Bounds on [[53,6]]2
lower bound: | 11 |
upper bound: | 17 |
Construction
Construction of a [[53,6,11]] quantum code:
[1]: [[62, 0, 18]] self-dual quantum code over GF(2^2)
Construction from a stored generator matrix
[2]: [[53, 9, 11]] quantum code over GF(2^2)
Shortening of the stabilizer code of [1] at { 7, 13, 22, 24, 26, 31, 32, 42, 60 }
[3]: [[53, 6, 11]] quantum code over GF(2^2)
Subcode of [2]
stabilizer matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1|0 0 1 1 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1|1 0 0 0 0 1 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 0 0 1 1 0 1 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0|1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0|1 1 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0|1 1 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0|1 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0|1 0 1 1 0 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0|1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0|1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1|1 1 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0|1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0|0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1|1 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1|1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0|0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0|1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1|0 0 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1|0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0|1 0 1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1|0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1|0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0|1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1|1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1|0 1 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0|1 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0|1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1|0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 1 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1|0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1|1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1|1 1 0 0 1 0 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0|0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1|1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1|0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1|0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1|0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0|1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1|0 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1|1 1 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0|0 0 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0|1 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1|0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1|0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0|1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1|1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1|1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1|1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0|0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1]
last modified: 2006-04-03
Notes
- All codes establishing the lower bounds where constructed using MAGMA.
- Most upper bounds on qubit codes for n≤100 are based on a MAGMA program by Eric Rains.
- For n>100, the upper bounds on qubit codes are weak (and not even monotone in k).
- Some additional information can be found in the book by Nebe, Rains, and Sloane.
- My apologies to all authors that have contributed codes to this table for not giving specific credits.
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Markus Grassl
(codes@codetables.de).
Last change: 23.10.2014