Bounds on the minimum distance of additive quantum codes

Bounds on [[191,152]]₂

lower bound:	7
upper bound:	11
Construction

Construction of a [[191,152,7]] quantum code:
[1]:  [[256, 222, 7]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 6
[2]:  [[186, 152, 7]] quantum code over GF(2^2)
     Shortening of [1] at { 62, 66, 108, 124, 125, 126, 127, 129, 131, 132, 136, 138, 139, 142, 144, 145, 146, 147, 149, 150, 151, 152, 153, 154, 156, 158, 163, 168, 169, 170, 172, 173, 174, 176, 179, 180, 181, 183, 186, 191, 192, 194, 196, 200, 203, 205, 206, 207, 208, 210, 212, 213, 214, 215, 217, 218, 220, 222, 224, 225, 226, 228, 232, 233, 242, 243, 247, 250, 252, 256 }
[3]:  [[191, 152, 7]] quantum code over GF(2^2)
     ExtendCode [2] by 5

    stabilizer matrix:

      [1 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 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 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 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 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 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 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 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 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 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 0 1 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 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 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 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 1 0 1 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 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 1 0 1 1 1 0 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 1 1 0 1 1 0 0 0 0 0 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 1 0 0 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 0 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 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 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 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 1 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 1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 0 0 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 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 0 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 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 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 1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 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 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 0 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 1 0 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 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 1 0 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 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 0 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 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 1 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 1 0 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 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 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 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 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 1 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 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 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 0 0 0 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 0 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 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 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 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 0 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0 0 1 1 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 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 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 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 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 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 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 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 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 0 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 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 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 1 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 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 1 0 1 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 0 1 0 0 1 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 1 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 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 1 0 1 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 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 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 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 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 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 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 1 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 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 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 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 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 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 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 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 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 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 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 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 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 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 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 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 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 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 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 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 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 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 1 0 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 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 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 1 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 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 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 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 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 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 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 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 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 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 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 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 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 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 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 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 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 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 1 0 0 1 0 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 1 0 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 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 1 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 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 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 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 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 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 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 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 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 1 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 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 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 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 [[191,152]]2

Construction

Notes

Bounds on [[191,152]]₂
