Bounds on the minimum distance of additive quantum codes

Bounds on [[187,162]]₂

lower bound:	5
upper bound:	7
Construction

Construction of a [[187,162,5]] quantum code:
[1]:  [[256, 230, 6]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 5
[2]:  [[188, 162, 6]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 3, 8, 21, 25, 30, 35, 65, 79, 107, 111, 117, 148, 164, 172, 173, 174, 175, 176, 177, 178, 179, 180, 182, 183, 184, 186, 187, 189, 190, 191, 193, 194, 195, 198, 199, 202, 203, 204, 205, 207, 208, 212, 215, 217, 218, 219, 221, 222, 224, 225, 226, 227, 230, 231, 233, 235, 237, 238, 240, 241, 242, 246, 248, 250, 251, 253, 254 }
[3]:  [[187, 163, 5]] quantum code over GF(2^2)
     Shortening of the stabilizer code of [2] at { 188 }
[4]:  [[187, 162, 5]] quantum code over GF(2^2)
     Subcode of [3]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 1 0 0|1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0]
      [0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 1|0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 1 1 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 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1|0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 0 1 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 1 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1|0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 1 0 1 0 0 0 0 0 0 1 1 1|0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0|0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 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 1 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 0 1 0]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 1 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 0 0 1 1|0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 0 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 0 1 1 0 1 1 1 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 1 1 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 1 0 1 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 1 1 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1|0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 0]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1|0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1|0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 1 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 1 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 0|0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 1 1 1 1 0 1 0 1 1 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 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 1 1 0 1 0 0 0 1 0 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 [[187,162]]2

Construction

Notes

Bounds on [[187,162]]₂
