Bounds on the minimum distance of additive quantum codes
Bounds on [[73,0]]2
lower bound: | 18 |
upper bound: | 26 |
Construction
Construction of a [[73,0,18]] quantum code:
[1]: [[73, 0, 18]] self-dual quantum code over GF(2^2)
cyclic code of length 73 with generating polynomial w*x^70 + x^69 + x^68 + w*x^67 + w^2*x^66 + w^2*x^65 + x^64 + x^63 + x^62 + w^2*x^61 + w*x^60 + x^58 + x^56 + x^54 + w*x^52 + w^2*x^51 + x^50 + x^49 + x^48 + w^2*x^47 + w^2*x^46 + w*x^45 + x^44 + x^43 + w*x^42 + x^39 + 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 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 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 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|1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1]
[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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0|1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1]
[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 0 0 0 0 0 0 0 0 0 0 0 0 0 0|1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0|0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0|1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 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 0 0 0 0 0 0 0 0 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 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 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 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 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 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 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 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 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 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|1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 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 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|1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 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 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 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 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 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|1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 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 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|1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 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 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 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 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 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|1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 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 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 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 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 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 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 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 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 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 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 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 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 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 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|1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 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 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 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 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 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 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 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 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|1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 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 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|1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 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 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 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 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 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 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 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 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|1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 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 0 0 0 0 0 0 0 0 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 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 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 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 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 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 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|1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 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 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 0 0 0 0 0 0 0 0 0 0 0 0|1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 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 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 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 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 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 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 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 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 0 0 0 0 0 0 0 0 0|0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 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 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 0 0 0 0 0 0 0 0|1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 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 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 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 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 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 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 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 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 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 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 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 0 0 0 0|1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 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 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 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 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 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 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 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 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 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 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 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 0 0 0 0 0 0 0 0 0 0 0 0|0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 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 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 0 0 0 0 0 0 0 0 0 0 0|0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 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 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 0 0 0 0 0 0 0 0 0 0|1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 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 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 0 0 0 0 0 0 0 0 0|0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 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 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 0 0 0 0 0 0 0 0|1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 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 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 0 0 0 0 0 0 0|1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 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 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0|1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0|1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0|0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0|1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0|1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 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 0 0 0 0 0 0 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 0|0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 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 0 0 0 0 0 0 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|0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 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 0 0 0 0 0 0 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|1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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|1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 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 0 0 0 0 0 0 0 0 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 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 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 1 0 0 0 0 0|1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 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 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 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 1 0 0 0|0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 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 1 0 0|0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 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 1 0|0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 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 1|1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0]
last modified: 2008-02-14
Notes
- All codes establishing the lower bounds where constructed using MAGMA.
- Most upper bounds on qubit codes for n≤100 are based on a MAGMA program by Eric Rains.
- For n>100, the upper bounds on qubit codes are weak (and not even monotone in k).
- Some additional information can be found in the book by Nebe, Rains, and Sloane.
- My apologies to all authors that have contributed codes to this table for not giving specific credits.
This page is maintained by
Markus Grassl
(codes@codetables.de).
Last change: 23.10.2014