Bounds on the minimum distance of additive quantum codes

Bounds on [[228,199]]₂

lower bound:	6
upper bound:	8
Construction

Construction of a [[228,199,6]] quantum code:
[1]:  [[256, 230, 6]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 5
[2]:  [[228, 202, 6]] quantum code over GF(2^2)
     Shortening of [1] at { 44, 154, 172, 189, 190, 194, 200, 201, 203, 204, 205, 207, 212, 213, 218, 222, 224, 226, 227, 230, 234, 235, 237, 238, 251, 252, 254, 256 }
[3]:  [[228, 199, 6]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 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 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 1 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 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0|1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0]
      [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 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 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 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 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 1 1|0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 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 1 1 1 1 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 1 1|0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 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 1 0 0 1 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 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 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 0 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 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 0 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 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 1 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 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 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 0|0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 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 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0|0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 1 1 0 1 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 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0|0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 0 1 0 0|0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 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 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1|0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0|0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 1 0 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 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 1 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 0 0 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 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 1 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 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 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 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 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 1 1 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 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 1 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 1 1 1 0 0 1 0 0 1 1 0 0 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 [[228,199]]2

Construction

Notes

Bounds on [[228,199]]₂
