lower bound: | 14 |
upper bound: | 19 |
Construction of a [[57,3,14]] quantum code: [1]: [[57, 3, 14]] quantum code over GF(2^2) cyclic code of length 57 with generating polynomial w^2*x^56 + x^55 + x^54 + x^53 + w^2*x^52 + w^2*x^51 + w*x^50 + w*x^49 + x^48 + x^47 + w^2*x^46 + x^45 + w*x^44 + w^2*x^42 + w^2*x^41 + w*x^40 + w^2*x^39 + w*x^37 + w^2*x^36 + x^35 + x^33 + x^31 + x^29 + x^27 + w^2*x^26 + w*x^23 + w*x^22 + w^2*x^21 + x^20 + x^19 + w^2*x^18 + w*x^16 + x^15 + w^2*x^13 + w*x^12 + w^2*x^11 + x^9 + w*x^7 + w^2*x^6 + x^4 + w^2*x^3 + w^2*x^2 + w^2*x + w^2 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|1 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 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 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 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 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