lower bound: | 8 |
upper bound: | 11 |
Construction of a [[45,15,8]] quantum code: [1]: [[45, 15, 8]] quantum code over GF(2^2) quasicyclic code of length 45 stacked to height 2 with 6 generating polynomials stabilizer matrix: [1 0 0 0 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 1 1 0 0 1 0 0 0 0 0 0 1 1 1|0 1 1 0 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 1] [0 1 0 0 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 1 0 1 0 0 1 1 1 1 1 0 1 1|0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0] [0 0 1 0 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 1 1 1 1 0 0 0 0 1 0 1|0 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0] [0 0 0 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 1 1 1 0 0 0 1 1 1 0 1 0|0 1 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 1 1] [0 0 0 0 1 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 1 1 0 1 0 1 0 0 0 1 1 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1 0 1] [0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0|1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0|0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1] [0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 1|0 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 1] [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1|1 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 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 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0|0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0] [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 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 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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 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 0|0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 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 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1|1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 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 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0|0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 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 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1|1 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 1 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 1 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 0 1|1 1 0 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 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 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1|1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 1 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 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 1 0|0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 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 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 1|0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] last modified: 2006-04-03