Bounds on the minimum distance of additive quantum codes

Bounds on [[181,160]]₂

lower bound:	4
upper bound:	6
Construction

Construction of a [[181,160,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[181, 167, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 4, 6, 16, 19, 24, 34, 37, 43, 48, 65, 70, 73, 78, 79, 81, 93, 101, 102, 113, 114, 115, 118, 122, 124, 125, 126, 133, 135, 137, 143, 154, 156, 158, 159, 162, 173, 174, 182, 186, 189, 193, 198, 199, 200, 206, 207, 208, 209, 213, 216, 219, 221, 222, 224, 225, 226, 227, 228, 229, 233, 234, 235, 236, 239, 240, 241, 242, 243, 247, 248, 249 }
[3]:  [[181, 160, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

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

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 [[181,160]]2

Construction

Notes

Bounds on [[181,160]]₂
