lower bound: | 11 |
upper bound: | 15 |
Construction of a [[46,4,11]] quantum code: [1]: [45, 21] Quasicyclic of degree 3 Linear Code over GF(2^2) QuasiCyclicCode of length 45 stacked to height 2 with generating polynomials: 1, x^8 + x^6 + x^5 + w^2*x^4 + x^3 + x^2, x^13 + w^2*x^12 + w^2*x^11 + w^2*x^9 + w^2*x^8 + x^4 + w^2*x^3 + w^2*x^2 + x + w^2, 0, x^9 + x^8 + w^2*x^7 + w*x^5 + w*x^4 + w^2*x^2 + x + 1, w^2*x^13 + w^2*x^12 + w^2*x^10 + w*x^9 + x^8 + x^7 + w^2*x^6 + w^2*x^4 + x^3 + x^2 + w*x + w^2 [2]: [[46, 4, 11]] quantum code over GF(2^2) QuantumConstructionX applied to [1] with e = 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 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 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 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 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 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 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 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 1 1] [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 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