lower bound: | 12 |
upper bound: | 15 |
Construction of a [[41,0,12]] quantum code: [1]: [[41, 0, 12]] self-dual quantum code over GF(2^2) cyclic code of length 41 with generating polynomial x^40 + x^39 + w*x^37 + w^2*x^35 + x^33 + x^32 + w*x^31 + x^30 + w*x^29 + w^2*x^28 + w^2*x^27 + x^26 + w^2*x^25 + w*x^23 + w*x^22 + w*x^20 + 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 0 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 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 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 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 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0] [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 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0] [0 0 0 0 1 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1|0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0] last modified: 2009-02-08