lower bound: | 14 |
upper bound: | 20 |
Construction of a [[55,0,14]] quantum code: [1]: [[55, 0, 14]] self-dual quantum code over GF(2^2) cyclic code of length 55 with generating polynomials [ x^33 + x^32 + x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + w^2*x^21 + w^2*x^20 + w*x^19 + w^2*x^17 + w*x^16 + w*x^14 + w*x^13 + w*x^12 + w^2*x^10 + w*x^9 + w^2*x^8 + x^7 + w*x^5 + w^2*x^3 + x^2 + w, x^34 + x^31 + x^29 + x^28 + x^26 + x^23 + x^19 + x^18 + x^13 + x^10 + x^7 + x^5 + x^3 + x + 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 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 1 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1] [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 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 1 1 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 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 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