Bounds on the minimum distance of additive quantum codes

Bounds on [[164,146]]₂

lower bound:	4
upper bound:	5
Construction

Construction of a [[164,146,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[164, 150, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 3, 7, 9, 10, 17, 19, 24, 26, 32, 33, 35, 36, 37, 39, 40, 42, 49, 51, 53, 54, 57, 61, 62, 68, 74, 75, 82, 83, 85, 87, 92, 93, 96, 102, 105, 113, 116, 119, 120, 122, 123, 124, 125, 127, 132, 135, 136, 138, 139, 142, 149, 151, 152, 153, 155, 157, 159, 161, 163, 165, 174, 175, 183, 186, 202, 204, 208, 209, 215, 227, 228, 229, 233, 235, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 252 }
[3]:  [[164, 146, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 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 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 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 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1|1 0 0 0 0 0 0 0 1 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 0 1 0 0 1 1 0 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1]
      [0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 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 0 0 0|0 1 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0]
      [0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 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 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0|0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1]
      [0 0 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0|0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0|0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 0]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 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 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 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 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 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 1 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 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 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 0 1 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 0 0 0 1 1 1 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 1 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 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 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 0 1 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 0 0 0 1 1 1 0 0 1 1 0|0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0]
      [0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1|0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0|0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 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 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 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 1 1 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 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 0 0 1]
      [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 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 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 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 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 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 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 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 0 1 1 1 1 1 1 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 [[164,146]]2

Construction

Notes

Bounds on [[164,146]]₂
