lower bound: | 10 |
upper bound: | 16 |
Construction of a [[61,17,10]] quantum code: [1]: [[65, 13, 13]] quantum code over GF(2^2) cyclic code of length 65 with generating polynomial x^64 + x^63 + w*x^62 + w*x^61 + w^2*x^60 + w*x^59 + x^57 + x^55 + w^2*x^54 + w*x^53 + w*x^52 + w*x^51 + x^50 + w*x^49 + w^2*x^48 + x^47 + x^46 + x^45 + x^44 + w^2*x^43 + w*x^42 + x^41 + w*x^40 + w*x^39 + w*x^38 + w^2*x^37 + x^36 + x^34 + w*x^32 + w^2*x^31 + w*x^30 + w*x^29 + x^28 + x^27 + x^26 + 1 [2]: [[61, 17, 10]] quantum code over GF(2^2) Shortening of the stabilizer code of [1] at { 1, 4, 6, 11 } 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 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0|0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 0 1 1 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 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 1|1 0 0 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 0 0 0 1 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