lower bound: | 15 |
upper bound: | 20 |
Construction of a [[56,0,15]] quantum code: [1]: [[56, 0, 15]] self-dual quantum code over GF(2^2) cyclic code of length 56 with generating polynomial x^55 + x^54 + x^50 + x^49 + x^45 + x^43 + x^42 + x^41 + x^40 + x^37 + x^35 + x^31 + x^29 + x^27 + x^25 + x^21 + x^19 + x^16 + x^15 + x^14 + x^13 + x^11 + x^7 + x^6 + x^2 + x + w 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 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 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1|0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0|0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 0 0 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