Bounds on the minimum distance of additive quantum codes

Bounds on [[128,53]]₂

lower bound:	15
upper bound:	25
Construction

Construction of a [[128,53,15]] quantum code:
[1]:  [[128, 56, 15]] quantum code over GF(2^2)
     extended Quantum Twisted Code of length 128 with interval [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 ] and parameter kappa 7
[2]:  [[128, 53, 15]] quantum code over GF(2^2)
     Subcode of [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 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 1 1 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 1 1 0 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 1 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 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 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 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 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1 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 1 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 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 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 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 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 0 0 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 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 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 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 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 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 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 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 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 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 1 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 1 0 0 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 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 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 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 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 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 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 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 1 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 0 1 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 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 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 0 1 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 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 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 0 0 0 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 0 1 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 0 0 0 0 1 0 1 0 0 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 1 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 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 0 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 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 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 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 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 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 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 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 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 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 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 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 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 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 1 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 1 0 0 0 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 0 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 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 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 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 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 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 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 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 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 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 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 1 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 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 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 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 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 1 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 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 1 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 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 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 1 0 0 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 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 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 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 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 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 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 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 1 1 1 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 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 1 0 1 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 1 0 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 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 0 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 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 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 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 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 0 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 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 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 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 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 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 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 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 0 0 1 1 1 1 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 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 1 1 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 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 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 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 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 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 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 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 1 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 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 1 0 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 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 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 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 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 1 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 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 1 0 0 1 0 1 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 1 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 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 0 0 0 0 1 0 1 0 1 0 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 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 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 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 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 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 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 0 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 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 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 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 1 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 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 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 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 0 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 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 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 0 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 1 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 0 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 0 0 0 0 0 0 1 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 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 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 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 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 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 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 0 0 0 0 1 1 0 1 0 1 0 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 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 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 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 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 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 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 0 0 0 0 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 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 1 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 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 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 1 1 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 0 0 0 1 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 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 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 1 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 0 0 0 0 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 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 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 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 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 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 0 0 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 1 1 1 1 0 1 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 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 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 0 0 0 0 0 0 0 0 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 0 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 1 1 1 0 1 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 1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 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 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 1 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 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 1 0 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 1 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 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 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 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 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 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 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 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 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 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 0 0 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 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 1 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 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 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 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 1 0 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 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 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 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 1 1 0 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 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 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 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 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 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1]

last modified: 2024-04-15
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
Bounds on the minimum distance of additive quantum codes

Bounds on [[128,53]]2

Construction

Notes

Bounds on [[128,53]]₂
