lower bound: | 5 |
upper bound: | 6 |
Construction of a [[25,11,5]] quantum code: [1]: [[25, 11, 5]] quantum code over GF(2^2) QuasiCyclicCode of length 25 stacked to height 2 with generating polynomials: 1, x + 1, w^2*x^4 + x^2 + x + w, w*x^4 + w^2*x^3 + x + 1, x^4 + w*x^3 + x^2 + w*x + 1, 0, x^3 + w^2*x^2 + w^2*x + 1, w*x^4 + w*x^2 + x + 1, x^4 + x^3 + w*x^2 + w, w^2*x^4 + w*x^3 + w*x^2 + w^2*x stabilizer matrix: [1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1|0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0] [0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0|1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 0 1] [0 1 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0|0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 0 1 0] [0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 0 1 0|0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0] [0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0] [0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0|0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1] [0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1] [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1|0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1|0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1] [0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1|0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0] [0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0|0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 1] [0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 1|0 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 0 1] [0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 0|0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1] [0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1|0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 1 1 0 1 1 0 0 0 1 1] last modified: 2024-06-14