Bounds on the minimum distance of additive quantum codes

Bounds on [[159,141]]₂

lower bound:	4
upper bound:	5
Construction

Construction of a [[159,141,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[159, 145, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 3, 4, 9, 13, 15, 21, 25, 27, 29, 32, 36, 37, 39, 55, 56, 58, 59, 65, 71, 72, 73, 74, 75, 81, 88, 91, 95, 97, 100, 105, 109, 111, 115, 116, 117, 119, 121, 123, 125, 126, 129, 130, 131, 136, 141, 145, 146, 147, 150, 151, 154, 156, 162, 166, 167, 168, 172, 174, 178, 179, 181, 187, 191, 195, 199, 203, 206, 208, 209, 217, 220, 224, 225, 226, 227, 229, 230, 232, 233, 234, 235, 236, 237, 238, 239, 241, 242, 244, 245, 246, 249, 251, 252 }
[3]:  [[159, 141, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0|0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1]
      [0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 1 0|1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 0 0 1]
      [0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 1 1 0 0 0|0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1|0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 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 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 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 0 1 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 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 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 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1|0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0]
      [0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0|0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 0]
      [0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 0|0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0]
      [0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0|0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1]
      [0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 0|0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0|0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 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 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 1 0 1 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 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 1 1 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 0 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 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 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 1 1 1 1 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 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 1 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 0 1 1 1 1 1 1 1 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 1 1 1 1 1 1 1 0 1 1 0 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 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 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 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 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 0 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 [[159,141]]2

Construction

Notes

Bounds on [[159,141]]₂
