Bounds on the minimum distance of additive quantum codes

Bounds on [[146,122]]₂

lower bound:	5
upper bound:	7
Construction

Construction of a [[146,122,5]] quantum code:
[1]:  [[255, 231, 5]] quantum code over GF(2^2)
     BCH code with parameters 255 5
[2]:  [[146, 122, 5]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 4, 10, 17, 21, 30, 35, 36, 37, 41, 43, 44, 45, 47, 51, 55, 56, 61, 65, 68, 69, 70, 73, 76, 77, 79, 83, 85, 87, 90, 91, 93, 96, 101, 103, 105, 106, 107, 108, 110, 114, 117, 118, 119, 120, 129, 132, 134, 142, 143, 144, 148, 149, 154, 158, 163, 165, 166, 167, 171, 172, 173, 174, 175, 176, 184, 185, 186, 189, 191, 193, 194, 195, 199, 200, 202, 203, 204, 207, 208, 209, 211, 212, 214, 215, 216, 218, 222, 224, 227, 228, 229, 230, 231, 233, 235, 238, 240, 241, 242, 243, 244, 245, 248, 250, 251, 253, 254, 255 }

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 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 0 0 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1]
      [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 0 0 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1|1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 1]
      [0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 1 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 1|0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 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 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0]
      [0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 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 0 1 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 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 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1|0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 0 1 1]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 0 1 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 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 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 1 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 1|0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 0 1 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 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 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 0 1 1|0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 0 0 1 1 1 1 1 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 1 1 0 0 1 1]
      [0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1|0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 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 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 0 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 0 0 0 1 1 0 0 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0|0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 1|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 0 0 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1]
      [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 0 0 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1|0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 1 0 0 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 1 0 0 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 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 1 0 0 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0|0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0|0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 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 [[146,122]]2

Construction

Notes

Bounds on [[146,122]]₂
