lower bound: | 14 |
upper bound: | 18 |
Construction of a [[51,0,14]] quantum code: [1]: [[51, 0, 14]] self-dual quantum code over GF(2^2) cyclic code of length 51 with generating polynomial x^50 + w^2*x^49 + w*x^48 + x^47 + w^2*x^42 + x^40 + w*x^38 + w*x^36 + x^35 + x^33 + x^31 + w*x^30 + w*x^29 + w^2*x^28 + w*x^27 + w^2*x^26 + x 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 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 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 0 0 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 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 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 0 0 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 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 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 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