Bounds on the minimum distance of additive quantum codes

Bounds on [[228,207]]₂

lower bound:	4
upper bound:	6
Construction

Construction of a [[228,207,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[228, 214, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 3, 16, 105, 115, 116, 124, 173, 196, 206, 222, 224, 225, 226, 227, 228, 231, 234, 238, 239, 243, 245, 249, 250, 251 }
[3]:  [[228, 207, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 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 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1|1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1]
      [0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 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 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 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 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 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 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 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 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0|0 1 0 0 0 0 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 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0]
      [0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 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 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 0 0 1 0 0|0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 1 1 1 0 0|0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0|0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0]
      [0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1|0 0 0 0 0 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 1 1 1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1|0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 1 0 0 0 0 1 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 0 0 0 0 0]
      [0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 0|0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1]
      [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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1|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 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 1 0 1 0 0 0 1]
      [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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1|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 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 1 0 1 0 1 0 1 1 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 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 1 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 1 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 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 1 0 0 0 1 1 1 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 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 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 1 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 1 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 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0|0 0 0 0 0 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 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 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 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 [[228,207]]2

Construction

Notes

Bounds on [[228,207]]₂
