Bounds on the minimum distance of additive quantum codes

Bounds on [[168,151]]₂

lower bound:	4
upper bound:	5
Construction

Construction of a [[168,151,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[168, 154, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 5, 7, 10, 16, 17, 22, 25, 41, 44, 47, 53, 54, 57, 58, 60, 62, 63, 66, 68, 69, 73, 74, 77, 83, 86, 94, 104, 106, 107, 108, 110, 112, 116, 119, 121, 122, 123, 124, 125, 126, 128, 131, 132, 133, 143, 148, 149, 152, 153, 156, 161, 169, 170, 173, 177, 181, 182, 199, 202, 206, 208, 210, 215, 220, 221, 222, 223, 224, 225, 227, 228, 229, 230, 232, 234, 237, 238, 239, 240, 243, 248, 249, 250, 251 }
[3]:  [[168, 151, 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 1 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 1 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 0 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 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 1 0 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 1 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 0 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 1|1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 1 0]
      [0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 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 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 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 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 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 0 0 0 1 1 0 0 1 0 1 0 0 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 1 1 1 0 0 1 1 1 1 1 0 1 1 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 1 0 1 0 1 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 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 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 0 0 0 1 1 0 0 1 0 1 0 0 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 1 1 1 0 0 1 1 1 1 1 0 1 1 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 1 0 1 0 1 0 0 1 1 0|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 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 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 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 0 0 1 0 1 1]
      [0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 0|0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1]
      [0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 1 1|0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0]
      [0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0|0 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1]
      [0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 1|0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 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 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 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 0 0 0 0 0 0 0 0 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]
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      [0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0|0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 1 1 1 1]
      [0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1|0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 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 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 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 1 1 1 0 0 0 0]
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      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0|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 1 0 1 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 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 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 0 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 [[168,151]]2

Construction

Notes

Bounds on [[168,151]]₂
