lower bound: | 6 |
upper bound: | 7 |
Construction of a [[39,19,6]] quantum code: [1]: [38, 10] Linear Code over GF(2^2) QuasiTwistedCyclicCode of length 38 and constant w with generators: x^9 + w^2*x^8 + w*x^6 + w^2*x^5 + w*x^4 + w^2*x^3 + w*x + 1, w*x^18 + x^17 + x^16 + x^15 + w^2*x^14 + w*x^13 + w*x^12 + w*x^10 + w^2*x^9 + w*x^8 + w*x^7 + w^2*x^6 + w*x^5 + x^4 + x^2 + x + w [2]: [[39, 19, 6]] 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 1 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1|0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 1 0 0 0] [0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 1 0 0 0|1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1] [0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1|0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 0] [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 0|0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1] [0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0|0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0] [0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1] [0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1|0 0 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0] [0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0|0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1] [0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 1|0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0] [0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0|0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 1] [0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1] [0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1|0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1] [0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0] [0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0|0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0] [0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0] [0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0|0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1] [0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1|0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0] [0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0|0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1] last modified: 2024-06-07