lower bound: | 15 |
upper bound: | 20 |
Construction of a [[57,0,15]] quantum code: [1]: [[57, 0, 15]] self-dual quantum code over GF(2^2) cyclic code of length 57 with generating polynomial x^51 + x^50 + x^48 + x^46 + x^41 + x^40 + x^36 + x^35 + x^34 + x^23 + x^22 + x^21 + x^17 + x^16 + x^11 + x^9 + x^7 + x^6 + w 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 0 0 0 0 0 0 0 1 0 0|0 0 0 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 0 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 0 0 0 1 0|0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 1|0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0] [0 0 0 1 0 0 0 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