Bounds on the minimum distance of additive quantum codes

Bounds on [[143,94]]₂

lower bound:	9
upper bound:	15
Construction

Construction of a [[143,94,9]] quantum code:
[1]:  [[255, 207, 9]] quantum code over GF(2^2)
     BCH code with parameters 255 9
[2]:  [[143, 95, 9]] quantum code over GF(2^2)
     Shortening of [1] at { 8, 22, 49, 50, 51, 52, 53, 56, 59, 60, 63, 67, 70, 71, 73, 75, 76, 78, 83, 84, 85, 86, 92, 93, 94, 96, 101, 104, 106, 108, 109, 110, 111, 116, 118, 119, 120, 123, 124, 127, 129, 130, 132, 134, 136, 139, 140, 141, 142, 143, 144, 145, 147, 148, 149, 151, 152, 154, 156, 157, 158, 160, 162, 166, 167, 168, 169, 174, 175, 177, 178, 181, 185, 188, 189, 190, 192, 195, 198, 199, 200, 202, 203, 204, 206, 208, 209, 210, 212, 213, 216, 218, 219, 220, 221, 225, 226, 228, 229, 231, 233, 239, 240, 242, 244, 245, 246, 248, 249, 250, 252, 254 }
[3]:  [[143, 94, 9]] quantum code over GF(2^2)
     Subcode of [2]

    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 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 1 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 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 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 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1 0 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 1 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0]
      [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 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 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 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 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1|0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 1 0 0 1 0 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 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 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 0 0 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 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 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 0]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 1 0 1 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 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 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 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 0 0 0 0 1 0 0 0 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 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 0 1 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 1 1 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 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 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 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 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 1 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 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 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 0 0 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 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 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 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 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0|0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 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 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 1 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 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 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 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1|0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 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 1 0 0 1 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 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 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 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 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 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 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 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1 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 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 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 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 1 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 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 1 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 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 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 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 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 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 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 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 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 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 1 1 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 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 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 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 1 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 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 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 1 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 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 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 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 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 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 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 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 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 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 0 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 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 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 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 0 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 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 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 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 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 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 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 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 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 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 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 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 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 1 0 1 1 1 1 1 1 1 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 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 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 1 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 1 0 1 1 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 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 1 0 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 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 1 0 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 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1 1 1 1 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 1 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 0 1 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 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 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 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 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 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 1 0 0 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 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 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 1 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 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 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 1 1 0 1 0 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 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 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 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 1 1 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 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 1 1 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 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 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 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 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 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 1 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 1 1 1 1 0 1 1 0 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 [[143,94]]2

Construction

Notes

Bounds on [[143,94]]₂
