Bounds on the minimum distance of additive quantum codes

Bounds on [[163,147]]₂

lower bound:	4
upper bound:	4
Construction

Construction of a [[163,147,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[163, 149, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 7, 10, 20, 22, 25, 26, 27, 28, 29, 34, 36, 40, 45, 47, 50, 52, 55, 60, 64, 65, 67, 68, 70, 71, 73, 74, 75, 79, 82, 89, 90, 96, 98, 100, 102, 109, 110, 118, 119, 120, 123, 125, 129, 130, 134, 140, 144, 150, 154, 155, 160, 167, 177, 179, 183, 185, 189, 190, 192, 195, 206, 207, 208, 209, 216, 217, 218, 220, 221, 224, 225, 226, 227, 228, 230, 231, 233, 234, 236, 238, 239, 240, 241, 242, 247, 248, 249, 250, 252 }
[3]:  [[163, 147, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 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 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 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 1 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 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 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1]
      [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 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 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 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1|1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 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 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1]
      [0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 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 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 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 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 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 0 0 1 1 1 1 1 1 0 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 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 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 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 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 0 0 1 1 1 1 1 1 0 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 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1|0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1]
      [0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1|0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 1 0 0 1 0 0]
      [0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1|0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1]
      [0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 1|0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1]
      [0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1|0 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 0 0]
      [0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0|0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1|0 0 0 0 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1]
      [0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0|0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 0|0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 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 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 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 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 0 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 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 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 1 0 1 1 1 1 1 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 1 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 1 0 0 0 0 0 0 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 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 0 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 1 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 1 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 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 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 0 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 [[163,147]]2

Construction

Notes

Bounds on [[163,147]]₂
