Bounds on the minimum distance of additive quantum codes

Bounds on [[177,137]]₂

lower bound:	7
upper bound:	11
Construction

Construction of a [[177,137,7]] quantum code:
[1]:  [[255, 215, 7]] quantum code over GF(2^2)
     BCH code with parameters 255 7
[2]:  [[177, 137, 7]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 25, 106, 107, 109, 110, 111, 113, 114, 118, 119, 120, 121, 123, 124, 130, 133, 134, 136, 137, 139, 141, 142, 145, 146, 147, 149, 152, 154, 155, 157, 158, 160, 161, 163, 165, 166, 170, 172, 174, 176, 180, 181, 182, 184, 185, 186, 192, 193, 194, 195, 198, 201, 208, 209, 210, 213, 215, 216, 218, 222, 223, 226, 229, 230, 231, 234, 235, 237, 238, 240, 241, 242, 243, 245, 246, 251, 252 }

    stabilizer matrix:

      [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 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 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 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 1 1 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1 1 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 0 0 0 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 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 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 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 0 1 0 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 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 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 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 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 0 1 0 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 1 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 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 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 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0 1 1 0 1 0 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 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 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 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 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0 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 1 1 0 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 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 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 0 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 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 1 1 0 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 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 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 0 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 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 1 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 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 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 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 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 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 0 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 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 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 0 0 0 0 0 1 0 1 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 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 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 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 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 1 0 1 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 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 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 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1|0 0 1 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 0 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 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 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 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 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 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 1 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 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 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 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1|0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 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 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 0 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 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 0 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 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 0 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 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 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 1 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 0]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 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 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 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 1 1 0 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 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 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 0 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 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 1 1 0 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 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 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 0 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 1|0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 1 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 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 0 0 1 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 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 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 1 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 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 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 0 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 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 0 0 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 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 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 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 0 0 1 1 1 1 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 1 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 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 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 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 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 1 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 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 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 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1|0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 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 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 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 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 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 1 1 1 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 0 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 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 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 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 1 1 1 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 0 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 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 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 1 1 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 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 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 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 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 1 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 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 0 0 1 1 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 1 0 1 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 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 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 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 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 1 0 1 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 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 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 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1|0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 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 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 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 0 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 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 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 0 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 1 0 0 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 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 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 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 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 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 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 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 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 1 0 0 0 0 0 0 0 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 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 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 0 0 1 0 1 1 1 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 0 1 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 0 0 0 0 0 1 0 0 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 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 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 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 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 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 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 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 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 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 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 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 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 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 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 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 1 0 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 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 1 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 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 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 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 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 1 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 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 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 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 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 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 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 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 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 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 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 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 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 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 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 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 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 0 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 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 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 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 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 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 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 1 0 0 0 0 1 0 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 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 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 1 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 0 0 0 0 0 0 0 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 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 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 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 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 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 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 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 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 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 1 0 0 0 0 1 1 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 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 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 1 1 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 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 1 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 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 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 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 0 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 1 1 1 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 0 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 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 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 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 1 1 1 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 0 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 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 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 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 1 0 0 1 1 1 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 0 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 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 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 1 1 0 0 1 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 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 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 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 0 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 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 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 1 0 1 0 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 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 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 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 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 1 1 0 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 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 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 0 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 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 1 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 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 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 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 1 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 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 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 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 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 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 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 1 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 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 [[177,137]]2

Construction

Notes

Bounds on [[177,137]]₂
