Bounds on the minimum distance of additive quantum codes

Bounds on [[160,142]]₂

lower bound:	4
upper bound:	5
Construction

Construction of a [[160,142,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[160, 146, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 3, 14, 15, 19, 22, 23, 27, 30, 36, 37, 38, 42, 44, 46, 47, 57, 61, 66, 69, 72, 74, 80, 85, 87, 92, 93, 98, 99, 101, 105, 106, 107, 113, 114, 116, 119, 120, 121, 123, 124, 125, 129, 132, 133, 134, 135, 136, 137, 142, 146, 147, 151, 152, 156, 158, 164, 166, 168, 177, 178, 181, 185, 190, 192, 193, 197, 198, 206, 207, 208, 209, 213, 216, 219, 220, 222, 224, 225, 229, 231, 232, 233, 235, 238, 240, 241, 242, 247, 250, 251, 252 }
[3]:  [[160, 142, 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 1 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 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 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1|1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0]
      [0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0|0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 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 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 1|0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1]
      [0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 0 1|0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 0]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1|0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0|0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 1 1 0 1 1 0 0|0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 1 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 1 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0|0 0 0 0 1 0 0 0 0 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 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 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 1 0 0 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0|0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 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 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 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 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 1 1 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 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 1 1 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 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 1 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 1 0 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 1 0 1 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 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 1 0 1 1 1 0 0 1 1]
      [0 0 0 0 0 0 0 0 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 1 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 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 0 1 1 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 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 1 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 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 0 1 1 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 [[160,142]]2

Construction

Notes

Bounds on [[160,142]]₂
