Bounds on the minimum distance of additive quantum codes

Bounds on [[142,118]]₂

lower bound:	5
upper bound:	7
Construction

Construction of a [[142,118,5]] quantum code:
[1]:  [[255, 231, 5]] quantum code over GF(2^2)
     BCH code with parameters 255 5
[2]:  [[142, 118, 5]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 2, 8, 9, 11, 14, 15, 16, 17, 18, 19, 20, 22, 25, 29, 30, 33, 37, 38, 50, 51, 55, 57, 58, 60, 62, 63, 65, 66, 69, 70, 71, 76, 84, 85, 92, 93, 95, 96, 99, 100, 109, 111, 113, 116, 120, 121, 136, 139, 142, 144, 145, 147, 152, 158, 161, 164, 167, 168, 171, 172, 173, 174, 175, 179, 180, 183, 187, 188, 190, 192, 193, 195, 196, 197, 198, 199, 200, 201, 202, 203, 206, 207, 209, 210, 211, 214, 215, 216, 217, 218, 220, 221, 222, 223, 226, 228, 230, 231, 235, 236, 239, 240, 243, 245, 246, 247, 248, 250, 251, 252, 253, 255 }

    stabilizer matrix:

      [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 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 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 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1|1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1]
      [0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 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 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 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 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1|0 1 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 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 1]
      [0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 1 1 0 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 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1|0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 1 1]
      [0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 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 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1]
      [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 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1|0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 0 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 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 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 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0|0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 1]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 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 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1|0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1|0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 0 1 0 0 0 0 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 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1|0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0]
      [0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 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 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 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 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0|0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 0 0 1 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 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 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 1 1 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1]
      [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 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1|0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 0 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 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1|0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 0 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 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 [[142,118]]2

Construction

Notes

Bounds on [[142,118]]₂
