Bounds on the minimum distance of additive quantum codes

Bounds on [[192,174]]₂

lower bound:	4
upper bound:	5
Construction

Construction of a [[192,174,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[192, 178, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 3, 8, 36, 37, 65, 66, 73, 74, 78, 84, 90, 100, 102, 105, 109, 114, 115, 117, 121, 122, 123, 125, 126, 127, 129, 133, 139, 155, 156, 163, 165, 183, 191, 195, 206, 207, 208, 209, 214, 220, 222, 224, 226, 227, 228, 229, 230, 232, 233, 234, 235, 236, 239, 240, 242, 243, 244, 251, 252 }
[3]:  [[192, 174, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 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 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 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 1 1 1 1 1 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 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 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 1 1 1 1 1 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 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1|1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 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 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1]
      [0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 1 0 0|0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1|0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1 0 1 0|0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1]
      [0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1|0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 0 0 1 0 1 1]
      [0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1|0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1]
      [0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 1|0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1]
      [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 0 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 0 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 1 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 1 1 1 0 0|0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 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 1 0 0 0 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 0 1]
      [0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 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 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0|0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 1|0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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]
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      [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 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 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 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 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 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
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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 [[192,174]]2

Construction

Notes

Bounds on [[192,174]]₂
