Bounds on the minimum distance of additive quantum codes

Bounds on [[142,123]]₂

lower bound:	4
upper bound:	6
Construction

Construction of a [[142,123,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[142, 128, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 3, 5, 6, 7, 12, 13, 14, 15, 16, 19, 23, 26, 27, 28, 30, 34, 36, 41, 43, 45, 48, 51, 52, 55, 59, 60, 65, 67, 68, 76, 77, 79, 80, 82, 83, 84, 85, 87, 90, 93, 94, 96, 98, 99, 101, 103, 106, 107, 108, 112, 113, 114, 115, 116, 119, 120, 123, 125, 127, 130, 132, 138, 140, 141, 142, 143, 145, 146, 150, 151, 153, 156, 159, 163, 166, 170, 172, 173, 174, 176, 179, 181, 182, 183, 185, 186, 187, 188, 192, 193, 194, 195, 196, 197, 200, 203, 205, 217, 219, 221, 225, 228, 229, 233, 234, 237, 238, 242, 246, 247 }
[3]:  [[142, 123, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

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

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 [[142,123]]2

Construction

Notes

Bounds on [[142,123]]₂
