Bounds on the minimum distance of additive quantum codes

Bounds on [[157,111]]₂

lower bound:	8
upper bound:	14
Construction

Construction of a [[157,111,8]] quantum code:
[1]:  [[255, 207, 9]] quantum code over GF(2^2)
     BCH code with parameters 255 9
[2]:  [[158, 110, 9]] quantum code over GF(2^2)
     Shortening of [1] at { 37, 49, 50, 51, 53, 55, 57, 62, 63, 66, 67, 69, 74, 76, 78, 79, 84, 86, 88, 89, 91, 95, 97, 101, 103, 104, 105, 106, 108, 110, 111, 115, 116, 117, 118, 121, 122, 124, 126, 127, 129, 130, 132, 133, 140, 141, 142, 147, 148, 149, 151, 156, 157, 159, 160, 161, 164, 171, 173, 174, 176, 177, 180, 181, 186, 187, 189, 191, 192, 193, 205, 208, 209, 211, 215, 216, 217, 218, 220, 222, 224, 225, 230, 231, 232, 239, 240, 243, 244, 245, 246, 247, 249, 250, 251, 253, 255 }
[3]:  [[157, 111, 8]] quantum code over GF(2^2)
     Shortening of the stabilizer code of [2] at { 158 }

    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 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 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 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 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 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 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 1 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 0 1 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 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 0 0 1 0 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 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 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 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 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 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 1 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 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 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 1 0 0 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 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 1 0 0 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 0 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 1 1 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 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 1 1 1 0 0 1 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 1 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 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 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 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 1 1 0 0 0 1 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 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 0 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 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 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 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 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 0 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 1 1 1 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 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 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 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 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 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 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 1 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 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 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1 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 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 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0 1 1 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 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 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 1 1 1 1 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 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 1 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 1 1 1 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 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 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 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 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 1 1 0 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 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 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 1 0 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 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 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 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 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 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 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 1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 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 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 0 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 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 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 0 0 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 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 1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 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 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 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 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 1 1 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 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 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 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 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 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 1 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 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 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 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 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 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 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 0 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 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 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 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 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 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 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 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 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 1 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 1 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 0 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 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 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 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 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 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0 0 1 0 0 1 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 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 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 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 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 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0 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 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 1 1 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 1 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 1 1 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 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 0 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 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 1 1 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 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0 1 1 1 0 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 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0 1 1 1 0 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 1 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 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 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 0 1 0 0 1 0 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 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 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 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 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 1 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 1 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 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 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 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 1 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 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 1 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 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 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 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 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 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 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 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 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 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 0 1 1 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 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 0 1 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 1 1 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 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 1 1 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 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 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 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 1 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 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 1 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 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 0 0 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 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 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 1 0 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 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 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 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 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 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 1 0 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 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 1 0 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 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 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 [[157,111]]2

Construction

Notes

Bounds on [[157,111]]₂
