lower bound: | 11 |
upper bound: | 16 |
Construction of a [[52,10,11]] quantum code: [1]: [[52, 10, 11]] quantum code over GF(2^2) ConstructionX using cyclic codes [51,21], [51,20], and auxiliary code [1,1] 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 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 0|0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 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 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0|0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 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 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 0 1 1 0|0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 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 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0|0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 0 1 0 0 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