Bounds on the minimum distance of additive quantum codes

Bounds on [[138,114]]₂

lower bound:	5
upper bound:	7
Construction

Construction of a [[138,114,5]] quantum code:
[1]:  [[255, 231, 5]] quantum code over GF(2^2)
     BCH code with parameters 255 5
[2]:  [[138, 114, 5]] quantum code over GF(2^2)
     Shortening of [1] at { 4, 5, 6, 7, 16, 17, 18, 19, 20, 23, 25, 26, 30, 32, 37, 41, 42, 43, 47, 48, 53, 55, 56, 57, 59, 65, 69, 70, 71, 72, 73, 76, 79, 82, 85, 86, 87, 88, 90, 91, 92, 99, 100, 101, 107, 109, 113, 118, 119, 120, 122, 126, 130, 131, 132, 134, 136, 137, 138, 143, 145, 146, 148, 149, 151, 153, 154, 156, 168, 170, 171, 172, 179, 181, 183, 184, 187, 188, 189, 191, 192, 193, 195, 198, 200, 201, 202, 203, 204, 206, 208, 209, 210, 212, 215, 219, 220, 221, 223, 226, 227, 229, 231, 235, 238, 240, 241, 242, 243, 245, 248, 249, 251, 252, 253, 254, 255 }

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 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 1 1 1 1 0 1 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 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 1 1 1 1 0 1 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 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 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0]
      [0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 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 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 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 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0|0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0]
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      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 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 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 0|0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1]
      [0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0|0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0]
      [0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 1 1 1 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 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 1 0 1 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 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0|0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0]
      [0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1|0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 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 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 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 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 1 1 0|0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0]
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      [0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 0|0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 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 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 0]
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      [0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
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      [0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 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 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 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 [[138,114]]2

Construction

Notes

Bounds on [[138,114]]₂
