Bounds on the minimum distance of additive quantum codes

Bounds on [[147,122]]₂

lower bound:	5
upper bound:	7
Construction

Construction of a [[147,122,5]] quantum code:
[1]:  [[256, 230, 6]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 5
[2]:  [[148, 122, 6]] quantum code over GF(2^2)
     Shortening of [1] at { 3, 4, 6, 8, 11, 13, 14, 15, 16, 25, 26, 29, 30, 32, 33, 34, 36, 37, 38, 39, 41, 46, 49, 57, 60, 62, 70, 71, 72, 78, 79, 83, 84, 85, 86, 87, 89, 90, 91, 93, 95, 99, 101, 110, 116, 119, 120, 127, 128, 134, 139, 141, 142, 144, 145, 146, 147, 150, 151, 155, 156, 157, 158, 162, 166, 168, 170, 171, 173, 174, 176, 178, 179, 186, 187, 188, 189, 190, 193, 195, 199, 202, 203, 204, 210, 217, 218, 223, 224, 225, 226, 227, 228, 231, 232, 234, 235, 236, 238, 239, 240, 242, 243, 245, 246, 247, 248, 250 }
[3]:  [[147, 123, 5]] quantum code over GF(2^2)
     Shortening of the stabilizer code of [2] at { 148 }
[4]:  [[147, 122, 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 1 1 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 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 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0|1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 1 1]
      [0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 1 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 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 1|0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 1 1 0 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 0 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1|0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1|0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1|0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 0 0 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 1 0 0 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 1 1 1 0 0 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 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 1 1 1 0 0 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0|0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 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 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0|0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 1 1 1 0 0 1 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 0 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 0 1 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 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0|0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 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 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 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 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1|0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 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 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1|0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 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 1 0 0 0 1 0 0 0 1 0 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 [[147,122]]2

Construction

Notes

Bounds on [[147,122]]₂
