lower bound: | 14 |
upper bound: | 22 |
Construction of a [[69,8,14]] quantum code: [1]: [[68, 8, 14]] quantum code over GF(2^2) QuasiCyclicCode of length 68 with generating polynomials: w^2*x^32 + x^31 + x^30 + x^4, w^2*x^33 + x^31 + w^2*x^30 + w*x^27 + x^25 + w*x^24 + w*x^23 + x^22 + w*x^21 + w*x^20 + x^18 + x^17 + x^16 + w^2*x^15 + w*x^14 + w^2*x^13 + x^12 + x^10 + w*x^9 + w*x^8 + x^7 + x^5 + w^2*x^4 + x^3 + w^2*x^2 + w^2 [2]: [[69, 8, 14]] quantum code over GF(2^2) ExtendCode [1] by 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 0 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 0 0 0 0 0|0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 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 0 0 0 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 0 0 0 0|0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 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