Bounds on the minimum distance of additive quantum codes

Bounds on [[152,128]]₂

lower bound:	5
upper bound:	7
Construction

Construction of a [[152,128,5]] quantum code:
[1]:  [[255, 231, 5]] quantum code over GF(2^2)
     BCH code with parameters 255 5
[2]:  [[152, 128, 5]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 2, 3, 9, 16, 17, 23, 25, 29, 30, 32, 36, 37, 42, 44, 48, 52, 54, 58, 59, 68, 73, 83, 84, 85, 88, 93, 95, 97, 98, 101, 104, 108, 111, 115, 116, 124, 128, 129, 130, 133, 135, 136, 138, 149, 159, 162, 166, 169, 170, 171, 173, 177, 178, 179, 180, 182, 183, 184, 187, 190, 191, 192, 193, 195, 196, 197, 199, 200, 202, 203, 206, 207, 208, 209, 211, 214, 215, 218, 219, 220, 224, 226, 227, 228, 229, 232, 233, 234, 235, 237, 238, 239, 240, 242, 244, 245, 247, 248, 249, 250, 253, 254 }

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 0 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 1|0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 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 0 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 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 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 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 0 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0|1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1]
      [0 1 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 1 0 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 1 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 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 1|0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1|0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1|0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0]
      [0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 1 1 1 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 1 1 1 0 0 1 1 1 1 0 0 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 0 0|0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 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 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0|0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 1 1 1 1 0 0]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0|0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0]
      [0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1|0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1]
      [0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 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 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0|0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 1 1 0|0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0|0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 1 0 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 0 1 1 0 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 1 0 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 0 1 1 0 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1 1 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 [[152,128]]2

Construction

Notes

Bounds on [[152,128]]₂
