lower bound: | 5 |
upper bound: | 5 |
Construction of a [[31,17,5]] quantum code: [1]: [[32, 16, 6]] quantum code over GF(2^2) from a linear code obtained via Construction XX applied to quasicyclic codes Construction from a stored generator matrix [2]: [[31, 17, 5]] quantum code over GF(2^2) Shortening of the stabilizer code of [1] at { 32 } stabilizer matrix: [1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0 0 0|0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0 1 1 0] [0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0 0|0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1 0] [0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0|0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0] [0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0|0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 1 1 0] [0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 0 1 0 1 0|0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1] [0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1|1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 1] [0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0|1 1 1 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0|0 1 1 1 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0] [0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 1 1 1 0|0 0 1 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1] [0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 1|1 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1] [0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0|1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1] [0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 1|0 1 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1] last modified: 2022-08-03