Bounds on the minimum distance of additive quantum codes

Bounds on [[177,161]]₂

lower bound:	4
upper bound:	4
Construction

Construction of a [[177,161,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[177, 163, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 6, 8, 9, 15, 18, 20, 22, 33, 40, 50, 52, 54, 66, 71, 79, 85, 87, 88, 93, 94, 95, 102, 105, 109, 111, 113, 115, 119, 125, 126, 128, 132, 135, 142, 147, 162, 168, 171, 180, 185, 188, 189, 190, 202, 204, 205, 207, 209, 211, 213, 214, 216, 221, 224, 225, 227, 228, 229, 232, 233, 234, 235, 237, 238, 239, 240, 241, 242, 243, 245, 246, 247, 249, 250, 251 }
[3]:  [[177, 161, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0|0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1]
      [0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1|1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 1]
      [0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 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 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 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 0 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 1 0 0 0 0 1 1 0 0 0 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 1 0 1 0 1 1 1 1 1 1 1 0 0 0 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 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 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 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1]
      [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 1 0 0 0 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 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 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 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 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 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 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 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0 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 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1]
      [0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0|0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1 0]
      [0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1 0|0 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0]
      [0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 0|0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0]
      [0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0|0 0 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0]
      [0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1|0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0]
      [0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 1|0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1|0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 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 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 0 0 0 0 0 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 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 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 0 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 0 0 0 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 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 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 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 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 0 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 [[177,161]]2

Construction

Notes

Bounds on [[177,161]]₂
