Bounds on the minimum distance of additive quantum codes

Bounds on [[145,116]]₂

lower bound:	6
upper bound:	8
Construction

Construction of a [[145,116,6]] quantum code:
[1]:  [[256, 230, 6]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 5
[2]:  [[144, 118, 6]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 5, 7, 11, 12, 13, 16, 18, 22, 23, 25, 27, 29, 30, 31, 32, 36, 39, 40, 42, 43, 44, 49, 50, 52, 53, 56, 58, 59, 62, 65, 68, 69, 73, 75, 77, 82, 83, 86, 87, 90, 92, 98, 99, 100, 105, 108, 109, 112, 115, 119, 121, 122, 125, 126, 127, 129, 130, 138, 139, 141, 144, 146, 147, 151, 152, 155, 156, 158, 167, 168, 169, 170, 171, 173, 177, 178, 180, 184, 185, 187, 188, 190, 191, 192, 194, 196, 200, 202, 203, 204, 212, 213, 216, 217, 220, 221, 226, 227, 229, 230, 231, 235, 238, 239, 244, 247, 250, 252, 253, 254, 256 }
[3]:  [[144, 116, 6]] quantum code over GF(2^2)
     Subcode of [2]
[4]:  [[145, 116, 6]] quantum code over GF(2^2)
     ExtendCode [3] by 1

    stabilizer matrix:

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

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 [[145,116]]2

Construction

Notes

Bounds on [[145,116]]₂
