Bounds on the minimum distance of additive quantum codes

Bounds on [[133,111]]₂

lower bound:	4
upper bound:	6
Construction

Construction of a [[133,111,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[133, 119, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 4, 7, 16, 19, 20, 23, 24, 26, 27, 30, 31, 33, 36, 37, 42, 43, 44, 48, 50, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 67, 69, 74, 75, 81, 82, 86, 87, 89, 91, 92, 93, 98, 102, 104, 105, 111, 112, 115, 118, 120, 122, 124, 126, 127, 128, 129, 130, 131, 133, 135, 136, 137, 138, 139, 140, 141, 142, 144, 146, 147, 149, 151, 152, 162, 166, 168, 170, 172, 175, 176, 177, 178, 179, 180, 182, 184, 185, 186, 192, 193, 195, 197, 200, 202, 206, 207, 208, 209, 215, 217, 218, 219, 220, 221, 222, 224, 227, 237, 238, 239, 240, 241, 243, 244, 245, 246, 251, 252 }
[3]:  [[133, 111, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1|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 0 1 1 1 1 1 0 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 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 1 0 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 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0|1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 0]
      [0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1|0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 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 1 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 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 1 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 0|0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1]
      [0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0|0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 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 1 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 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 0 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 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 0 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 0|0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 0 1 1 1 1 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 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 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 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 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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]
      [0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 0 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 1 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 0 1 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 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 1 0 0 0|0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0]
      [0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 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 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0|0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 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 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 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 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 1 0 0 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 1 0 1 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 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 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 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 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 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 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 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 [[133,111]]2

Construction

Notes

Bounds on [[133,111]]₂
