Bounds on the minimum distance of additive quantum codes

Bounds on [[175,135]]₂

lower bound:	7
upper bound:	11
Construction

Construction of a [[175,135,7]] quantum code:
[1]:  [[255, 215, 7]] quantum code over GF(2^2)
     BCH code with parameters 255 7
[2]:  [[175, 135, 7]] quantum code over GF(2^2)
     Shortening of [1] at { 55, 79, 105, 108, 109, 113, 118, 120, 122, 124, 125, 128, 129, 130, 131, 133, 136, 138, 140, 143, 146, 149, 151, 158, 159, 160, 163, 164, 166, 167, 169, 172, 173, 174, 175, 177, 182, 183, 184, 185, 186, 187, 188, 189, 191, 192, 195, 196, 197, 199, 200, 201, 203, 204, 206, 207, 208, 210, 211, 212, 213, 218, 219, 220, 222, 223, 225, 226, 233, 234, 236, 237, 238, 239, 240, 243, 245, 247, 251, 252 }

    stabilizer matrix:

      [1 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 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 1 1 1 0 0 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 1 1 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 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 1 1 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 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 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 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 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 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 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 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 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 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 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 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 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 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 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 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 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 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 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1]
      [0 0 0 1 0 0 0 0 0 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 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 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 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 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 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 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 1 1 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 0 1 1 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 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 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 1 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 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 1 0 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 0 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 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 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 1 1 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 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 1 1 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 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 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 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 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 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 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 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 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 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 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 1 1 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 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0 0 1 0 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 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 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 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 1 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 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 1 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 1 0 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 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 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 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 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 1 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 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 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 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 1 0 1 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 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 1 0 1 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 1 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 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 0 1 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 1 1 1 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 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 1 0 1 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 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 1 0 1 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1|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 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1]
      [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 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 1 0 1 0 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 1 0 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 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 0 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 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 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 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 0 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 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 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 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 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 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 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 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 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 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 1 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 1 0 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 1 1 0 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 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 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 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 1 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 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 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 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 0 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 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 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 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 1 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 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 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 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 0 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 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 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0 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 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 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 1 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 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 1 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 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 1 1 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0]

last modified: 2009-02-08
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 necessarily 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: 10.06.2024
Bounds on the minimum distance of additive quantum codes

Bounds on [[175,135]]2

Construction

Notes

Bounds on [[175,135]]₂
