lower bound: | 11 |
upper bound: | 13 |
Construction of a [[39,3,11]] quantum code: [1]: [[39, 3, 11]] quantum code over GF(2^2) QuasiCyclicCode of length 39 stacked to height 2 with generating polynomials: x + 1, x^4 + w*x^3 + w*x^2 + 1, x^10 + x^8 + x^7 + w*x^6 + w^2*x^5 + w^2*x^4 + x^3 + x^2 + w*x + 1, 0, x^7 + w*x^6 + w^2*x^5 + w*x^4 + w*x^3 + w^2*x^2 + w*x + 1, x^12 + w*x^10 + w^2*x^9 + w^2*x^7 + w*x^6 + x^4 + x^2 + x stabilizer matrix: [1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 1 0 1|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 0 0 1 1 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 1 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0|1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 1] [0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 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 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0|0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 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