Bounds on the minimum distance of additive quantum codes

Bounds on [[141,122]]₂

lower bound:	4
upper bound:	6
Construction

Construction of a [[141,122,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[141, 127, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 3, 6, 7, 8, 9, 10, 13, 14, 17, 19, 24, 28, 31, 34, 35, 36, 38, 42, 47, 50, 53, 55, 56, 58, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 74, 75, 78, 81, 82, 84, 85, 86, 88, 90, 94, 98, 100, 101, 102, 103, 105, 112, 115, 117, 118, 120, 126, 129, 130, 131, 145, 146, 150, 156, 157, 158, 160, 161, 162, 164, 167, 169, 172, 173, 176, 177, 180, 181, 182, 183, 187, 190, 192, 194, 196, 199, 200, 201, 202, 209, 210, 211, 215, 217, 222, 223, 224, 230, 234, 235, 238, 239, 241, 243, 246, 247, 248, 250, 251, 252 }
[3]:  [[141, 122, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0|0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0|1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 0 1]
      [0 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1|0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 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 1 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1|0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 0|0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 0]
      [0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1|0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 0]
      [0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 0|0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 1 1]
      [0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 0 0 0|0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 0|0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 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 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 1 1 1 1 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 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 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 0 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 1 0 0 0 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 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 1 1 1 1 1 1 1 0 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 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 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 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 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 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 1 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 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 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 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 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 1 0 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 1 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 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 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 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 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 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1|0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 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 [[141,122]]2

Construction

Notes

Bounds on [[141,122]]₂
