Bounds on the minimum distance of additive quantum codes

Bounds on [[172,156]]₂

lower bound:	4
upper bound:	4
Construction

Construction of a [[172,156,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[172, 158, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 16, 17, 18, 23, 27, 28, 29, 31, 33, 37, 44, 46, 53, 54, 55, 63, 66, 77, 79, 80, 88, 89, 92, 110, 111, 112, 113, 114, 116, 119, 122, 123, 124, 125, 126, 128, 139, 140, 142, 146, 147, 153, 158, 161, 168, 175, 176, 183, 185, 188, 193, 196, 200, 203, 204, 206, 208, 209, 213, 216, 221, 223, 226, 227, 228, 231, 233, 234, 236, 237, 238, 239, 241, 242, 243, 244, 246, 248, 252 }
[3]:  [[172, 156, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 1 0 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 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 1 0 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 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 1 0 1 1 0|1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 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 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0]
      [0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 0 1 1 1 0 1|0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0]
      [0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 0 0 0|0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1]
      [0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 0|0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 0 0]
      [0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 1 0|0 0 1 0 0 0 0 1 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0]
      [0 0 0 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1|0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0]
      [0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0|0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 1]
      [0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1|0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0]
      [0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0|0 0 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1]
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      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 1 1 1 1]
      [0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 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 0 0 1 0 0 1 0 0 0 0 1 0 0 1 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 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 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 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 1 1 1 0 1 1 1 1 1 0 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 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 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 1 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 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 0 1 1 1 1 1 0 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 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 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 1 0|0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 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 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 1 0 0 1 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 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 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 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 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 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 [[172,156]]2

Construction

Notes

Bounds on [[172,156]]₂
