Bounds on the minimum distance of additive quantum codes

Bounds on [[180,164]]₂

lower bound:	4
upper bound:	4
Construction

Construction of a [[180,164,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[180, 166, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 7, 15, 21, 27, 28, 29, 53, 55, 57, 64, 74, 76, 84, 85, 88, 101, 102, 105, 106, 108, 110, 114, 115, 116, 117, 118, 119, 121, 122, 123, 124, 125, 132, 143, 145, 146, 156, 161, 164, 169, 172, 176, 178, 181, 185, 191, 195, 209, 211, 212, 220, 221, 222, 223, 224, 225, 227, 228, 230, 233, 234, 237, 238, 239, 242, 243, 244, 246, 248, 249, 250, 252 }
[3]:  [[180, 164, 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 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 0|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 1 1 1 0 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 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 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 1 1 1 0 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 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1|1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 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 0 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 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 1 0 1 1 1 1 0 1 1 0 1 1 1 0 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 1 1 0 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1]
      [0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 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 1 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 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0|0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1 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 1 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 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 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 0]
      [0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0|0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 1]
      [0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 1|0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1]
      [0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1|0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 1]
      [0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 1|0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0]
      [0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0|0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1]
      [0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1|0 0 0 0 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1]
      [0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1|0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0|0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 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 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 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 0]
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      [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 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 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 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 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 0 0 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 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 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 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 [[180,164]]2

Construction

Notes

Bounds on [[180,164]]₂
