Bounds on the minimum distance of additive quantum codes

Bounds on [[151,133]]₂

lower bound:	4
upper bound:	5
Construction

Construction of a [[151,133,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[151, 137, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 3, 7, 8, 17, 20, 26, 36, 42, 44, 48, 50, 51, 53, 59, 61, 62, 65, 66, 70, 73, 76, 77, 78, 79, 81, 82, 83, 85, 91, 97, 105, 106, 107, 109, 110, 115, 116, 121, 122, 123, 124, 125, 133, 135, 137, 139, 147, 148, 149, 150, 152, 155, 156, 158, 159, 160, 161, 162, 165, 166, 169, 170, 173, 178, 180, 181, 183, 186, 187, 191, 192, 194, 208, 209, 211, 218, 219, 220, 222, 223, 224, 225, 226, 227, 228, 230, 231, 233, 234, 235, 237, 240, 241, 242, 243, 244, 246, 248, 250, 251, 252 }
[3]:  [[151, 133, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 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 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 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 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 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 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 0|1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 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 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1]
      [0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 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 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 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 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 1 1 1 1 0 1 0 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 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 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 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 1 1 1 0 0 1 1 1 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 1 1 1 1 0 1 0 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 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1|0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 1 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 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1]
      [0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0|0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1|0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 0 1 1 1 1|0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0|0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1]
      [0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 0|0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1|0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1]
      [0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0|0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 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 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 0|0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 1 1 0 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 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 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 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 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 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 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 1 0 0 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 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 0 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 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 1 1 1 1 1 1 1 0 1 0 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 1 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 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 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 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 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 [[151,133]]2

Construction

Notes

Bounds on [[151,133]]₂
