lower bound: | 9 |
upper bound: | 12 |
Construction of a [[65,31,9]] quantum code: [1]: [[65, 31, 9]] quantum code over GF(2^2) ConstructionXX using cyclic codes [63,48], [63,47], [63,47], and auxiliary codes [1,1], [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 1 1 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 0 1|0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 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 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1|1 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 0 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 1 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0|1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0] [0 0 0 1 0 0 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