Bounds on the minimum distance of additive quantum codes

Bounds on [[102,68]]₂

lower bound:	7
upper bound:	10
Construction

Construction of a [[102,68,7]] quantum code:
[1]:  [[256, 222, 7]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 6
[2]:  [[102, 68, 7]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 5, 8, 9, 10, 11, 12, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 37, 41, 44, 46, 47, 50, 52, 53, 55, 58, 59, 60, 61, 63, 64, 65, 66, 68, 70, 72, 73, 74, 75, 78, 79, 80, 81, 82, 84, 85, 86, 89, 94, 96, 99, 100, 101, 107, 108, 111, 112, 113, 114, 115, 119, 120, 121, 122, 123, 126, 127, 128, 130, 131, 133, 134, 135, 136, 137, 139, 144, 145, 151, 152, 153, 154, 155, 156, 157, 159, 162, 163, 164, 165, 167, 169, 171, 173, 174, 176, 178, 180, 181, 184, 188, 189, 190, 193, 194, 196, 198, 201, 202, 203, 205, 206, 207, 208, 209, 210, 212, 213, 215, 216, 220, 221, 222, 226, 227, 228, 229, 232, 233, 234, 237, 238, 239, 240, 241, 242, 243, 244, 246, 247, 250, 251, 252, 253, 254, 255, 256 }

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 1 1 1 1|0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 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 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 1 0|0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 1 0 1 0 0 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 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1 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 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1|0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 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 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0 0|0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 1 1 1 0 1 0]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 1 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 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0|0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 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 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1|0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 0 1 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 1 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 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0|0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0|0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1|0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 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 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1|0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 1 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1|0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 0 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 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0|0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 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 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0|0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 1 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 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 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 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 1|0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 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 1 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 0 1 1|0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 0 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 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 1 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 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 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0|0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 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 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 0|0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 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 1 0 0 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0|0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0|0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 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 1 1 0 1 1 0 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0|0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1]

last modified: 2009-01-27
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 even 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: 23.10.2014
Bounds on the minimum distance of additive quantum codes

Bounds on [[102,68]]2

Construction

Notes

Bounds on [[102,68]]₂
