lower bound: | 9 |
upper bound: | 14 |
Construction of a [[94,52,9]] quantum code: [1]: [[94, 52, 9]] quantum code over GF(2^2) ConstructionX using cyclic codes [93,21], [93,20], and auxiliary code [1,1] 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 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1|0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 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 1 1 1 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0|0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 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 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1|0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 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 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1|0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 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 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0|0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 1 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 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1|0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 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 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0|0 0 0 0 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1] [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 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0|0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0|0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 0|0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0|0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 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 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 1|0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 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 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0|0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0|0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0|0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0|0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 0 1] [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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0|0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 0 0 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1|0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0|0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0|0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1 1 1 1|0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0|0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0|0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 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 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1 1|0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 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 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0|0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0 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 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0|0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1|0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 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 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0|0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 1 1 0 1 0 0 0 0 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 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1|0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 1 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 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 0 1 1|0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 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 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 1 0 1 1 0 1 1 0 0 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 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 1|0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 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 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 1|0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 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 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 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 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 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 0 0 0 0 0 0 0 0 0 0 0|0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 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 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 0 0 0 0 0 0 0 0 0|0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 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 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 0 0 0 0 0 0 0 0|0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0|0 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 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 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 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 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 1] last modified: 2020-07-30