Bounds on the minimum distance of additive quantum codes

Bounds on [[134,108]]₂

lower bound:	6
upper bound:	8
Construction

Construction of a [[134,108,6]] quantum code:
[1]:  [[256, 230, 6]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 5
[2]:  [[134, 108, 6]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 3, 4, 5, 6, 8, 10, 11, 13, 15, 17, 19, 24, 25, 27, 28, 30, 34, 38, 40, 43, 47, 48, 51, 53, 55, 57, 58, 59, 61, 62, 63, 67, 70, 74, 78, 81, 83, 84, 87, 88, 91, 92, 95, 100, 102, 107, 108, 109, 110, 113, 115, 116, 119, 124, 125, 130, 133, 134, 135, 136, 138, 140, 141, 143, 144, 145, 146, 147, 148, 149, 153, 154, 155, 156, 158, 159, 160, 164, 166, 169, 170, 174, 177, 180, 181, 182, 183, 187, 188, 191, 193, 196, 197, 199, 201, 204, 209, 212, 215, 216, 217, 219, 220, 224, 226, 229, 231, 232, 233, 234, 237, 239, 240, 243, 244, 245, 246, 248, 249, 250, 252 }

    stabilizer matrix:

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

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 [[134,108]]2

Construction

Notes

Bounds on [[134,108]]₂
