Bounds on the minimum distance of additive quantum codes

Bounds on [[134,113]]₂

lower bound:	4
upper bound:	6
Construction

Construction of a [[134,113,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[134, 120, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 2, 3, 4, 5, 6, 9, 12, 13, 18, 21, 22, 27, 29, 30, 38, 40, 41, 42, 45, 46, 48, 49, 50, 51, 55, 56, 57, 61, 65, 67, 73, 74, 75, 76, 77, 80, 81, 84, 88, 89, 90, 91, 94, 95, 97, 100, 104, 105, 106, 108, 110, 111, 112, 114, 115, 116, 117, 123, 124, 127, 128, 130, 132, 135, 138, 139, 143, 144, 148, 150, 153, 154, 155, 156, 157, 162, 167, 170, 173, 175, 176, 178, 179, 182, 183, 184, 188, 191, 192, 194, 195, 197, 199, 202, 203, 204, 206, 207, 209, 210, 211, 212, 220, 222, 223, 224, 227, 229, 232, 233, 234, 242, 245, 247, 248, 249, 250 }
[3]:  [[134, 113, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1|1 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 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 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 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 1 0 0 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 1 1 1 1 1 0 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 1 0 0 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 1 1 1 1 0 1 0 0 1 0 0|0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0]
      [0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 0 0 1 1 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 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 0|0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 1 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 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 1|0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 1 1 0]
      [0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 1 0 0 0 1|0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0|0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 1 1]
      [0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 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 1 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 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 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0]
      [0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0|0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 1]
      [0 0 0 0 0 0 1 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 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 1 1 0 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 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 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 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 1 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 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 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 0 0 0 0 0 0 0 0 0 0 0 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 1 1 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 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 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 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 0 0 0 0 0 0 0 0 0 0 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 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 [[134,113]]2

Construction

Notes

Bounds on [[134,113]]₂
