Bounds on the minimum distance of additive quantum codes

Bounds on [[170,129]]₂

lower bound:	7
upper bound:	12
Construction

Construction of a [[170,129,7]] quantum code:
[1]:  [[255, 215, 7]] quantum code over GF(2^2)
     BCH code with parameters 255 7
[2]:  [[170, 130, 7]] quantum code over GF(2^2)
     Shortening of [1] at { 13, 62, 95, 101, 104, 105, 107, 110, 111, 112, 113, 114, 115, 116, 118, 119, 120, 121, 124, 127, 128, 130, 131, 134, 137, 138, 142, 143, 146, 150, 151, 152, 153, 156, 162, 163, 165, 166, 167, 168, 172, 173, 175, 177, 179, 180, 183, 184, 187, 190, 193, 198, 203, 205, 208, 210, 212, 214, 215, 216, 217, 218, 220, 221, 223, 224, 226, 228, 229, 230, 232, 233, 234, 235, 236, 237, 238, 243, 246, 248, 249, 251, 252, 253, 254 }
[3]:  [[170, 129, 7]] 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 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 1 0 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 1 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 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 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 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 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 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 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 1 0 1 0 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 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 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 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 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 0 0 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1 0 1 1 0 1 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 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 1 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 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 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 1 0 0 1 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 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 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 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 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 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 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 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 1 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 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 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 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 1 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 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 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 1 0 1 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 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 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 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 0 1 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 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 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 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 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 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 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1|0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 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 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 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 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 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 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 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 0 1 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 1 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 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 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 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 1 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 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 1 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 0 0 0 1 1 0 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 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 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 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 1 0 1 0 1 1 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 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 0 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 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 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 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 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 1 1 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 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 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 1 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 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 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 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 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 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 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 0 0 0 0 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 1 0 0 0 1 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 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 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 1 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 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 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 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 1 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 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 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 1 0 0 0 1 1 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 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 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 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 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 1 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 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 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 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 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 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 0 1 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 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 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 1 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 1 1 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 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 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 1 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 0 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1|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 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 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 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 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 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 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 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 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 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 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 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 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 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 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 1 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 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 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 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 1 1 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 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 1 0 1 0 1 1 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 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 0 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 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 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 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 1 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 1 0 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 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 0 1 1 1 0 1 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 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 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 0 0 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 1 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 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 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 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 1 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 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 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 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 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 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 1 0 1 0 1 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 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 1 1 1 0 1 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 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 1 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 0 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 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 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 1 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 0 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 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 0 1 0 1 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 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 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 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 0 0 1 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 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 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 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 0 0 0 1 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 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 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 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 0 0 0 1 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 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 0 0 0 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 1 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 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 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 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 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 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 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 1 1 0 1 0 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 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 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 0 1 0 0 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 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 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 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 0 1 1 0 0 1 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 0 1 1 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 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 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 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 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 1 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 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 0 1 1 0 1 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 0 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 1 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 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 0 0 0 1 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 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 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 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 0 0 0 1 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 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 1 0 1 0 0 1 1 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 0 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 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 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 1 0 0 1 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 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 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 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 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 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 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 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 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 [[170,129]]2

Construction

Notes

Bounds on [[170,129]]₂
