lower bound: | 4 |
upper bound: | 4 |
Construction of a [[34,24,4]] quantum code: [1]: [[34, 24, 4]] quantum code over GF(2^2) QuasiCyclicCode of length 34 stacked to height 2 with generating polynomials: w*x^16 + x^15 + w^2*x^14 + w*x^13 + w*x^12 + x^11 + w*x^10 + w*x^9 + w^2*x^8 + x^7 + w*x^6 + x^5 + 1, x^16 + x^15 + w*x^13 + x^12 + w*x^11 + w^2*x^10 + w^2*x^9 + w^2*x^8 + w^2*x^7 + w*x^6 + x^5 + w*x^4 + x^2 + x + w, w^2*x^16 + w*x^15 + x^14 + w^2*x^13 + w^2*x^12 + w*x^11 + w^2*x^10 + w^2*x^9 + x^8 + w*x^7 + w^2*x^6 + w*x^5 + w, w*x^16 + w*x^15 + w^2*x^13 + w*x^12 + w^2*x^11 + x^10 + x^9 + x^8 + x^7 + w^2*x^6 + w*x^5 + w^2*x^4 + w*x^2 + w*x + w^2 stabilizer matrix: [1 0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1|0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0] [0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0|1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1] [0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1|0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1 1 1] [0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1 1 1|0 1 0 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0] [0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 0 0 0|0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0] [0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0|0 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0] [0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0|0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 1] [0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 1|0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1] [0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0|0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1] [0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1|0 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1] last modified: 2005-06-29