Bounds on the minimum distance of additive quantum codes

Bounds on [[196,178]]₂

lower bound:	4
upper bound:	5
Construction

Construction of a [[196,178,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[196, 182, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 12, 21, 23, 32, 37, 42, 58, 59, 96, 97, 105, 114, 115, 116, 119, 120, 125, 126, 144, 153, 166, 169, 175, 176, 178, 186, 188, 195, 204, 208, 209, 210, 212, 216, 219, 220, 221, 222, 225, 226, 228, 230, 231, 234, 235, 236, 237, 238, 240, 241, 243, 244, 245, 248, 251, 252 }
[3]:  [[196, 178, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 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 1 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 1 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 1 0 0 0 1 1 1 1 1 1 0 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 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 1 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 1 0 0 0 1 1 1 1 1 1 0 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 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1|1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 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 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 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 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1]
      [0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 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 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 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 1 1 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 0 1 0 1 0 0 1 0 0 0 1 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 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 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 0 0 0 0 0 1 1 1 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 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 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 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 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 0 0 0 0 0 1 1 1 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 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0|0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 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 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 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 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1]
      [0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0|0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0]
      [0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0|0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0]
      [0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1|0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0]
      [0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0|0 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1]
      [0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1|0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1]
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      [0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 1 0|0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 1|0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 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 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 1 0 0 0 1 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 0 0 0 0 0 0 0 0 0 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]
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      [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 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 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 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 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 0 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]
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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 [[196,178]]2

Construction

Notes

Bounds on [[196,178]]₂
