Bounds on the minimum distance of additive quantum codes

Bounds on [[140,121]]₂

lower bound:	4
upper bound:	6
Construction

Construction of a [[140,121,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[140, 126, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 2, 3, 6, 7, 11, 14, 15, 16, 17, 18, 25, 26, 30, 32, 33, 34, 35, 37, 38, 40, 41, 43, 44, 48, 49, 51, 54, 55, 58, 59, 60, 61, 63, 66, 67, 69, 70, 71, 72, 74, 75, 76, 79, 81, 84, 88, 90, 92, 93, 94, 95, 98, 99, 100, 102, 104, 105, 106, 107, 111, 113, 114, 118, 119, 120, 124, 126, 127, 129, 131, 132, 139, 140, 145, 148, 149, 158, 160, 162, 165, 167, 169, 171, 172, 173, 176, 181, 184, 185, 191, 198, 199, 206, 207, 211, 212, 213, 220, 223, 224, 229, 230, 233, 234, 235, 243, 245, 246, 248, 249, 252 }
[3]:  [[140, 121, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

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

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 [[140,121]]2

Construction

Notes

Bounds on [[140,121]]₂
