Bounds on the minimum distance of additive quantum codes

Bounds on [[184,161]]₂

lower bound:	4
upper bound:	6
Construction

Construction of a [[184,161,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[184, 170, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 6, 25, 28, 48, 49, 52, 53, 55, 56, 59, 61, 76, 78, 87, 92, 101, 102, 105, 114, 115, 116, 117, 118, 119, 120, 123, 124, 125, 129, 134, 137, 142, 145, 146, 148, 156, 163, 165, 166, 184, 193, 195, 196, 198, 206, 209, 213, 214, 218, 219, 220, 221, 222, 223, 224, 227, 229, 230, 231, 232, 234, 237, 238, 242, 244, 245, 246, 248 }
[3]:  [[184, 161, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 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 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 1 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 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 0 0 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 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0]
      [0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 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 1 0 0 1 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 1 1 1 1 1 1 1 1 0 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 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 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 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 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 1 1 1 0 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 1 1 0 0 1 0 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 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 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 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 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 1 1 1 0 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 1 1 0 0 1 0 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 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0|0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 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 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 1]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 1 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 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0|0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 0]
      [0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 0 1 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 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0|0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1]
      [0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 1 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 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1|0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 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 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 0|0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 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 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 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 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 0 0 0 0 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 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 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 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 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 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 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 1 1 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 0 1 0 0 1 1 1 1 0 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 0 0 0 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 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 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 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|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 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 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]

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 [[184,161]]2

Construction

Notes

Bounds on [[184,161]]₂
