Bounds on the minimum distance of additive quantum codes

Bounds on [[152,136]]2

lower bound:4
upper bound:4

Construction

Construction of a [[152,136,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[152, 138, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 5, 6, 7, 17, 18, 22, 26, 28, 30, 31, 32, 33, 36, 37, 39, 40, 47, 49, 52, 55, 56, 61, 62, 68, 70, 72, 74, 77, 81, 82, 87, 89, 91, 92, 93, 97, 98, 113, 114, 116, 119, 120, 121, 122, 123, 129, 130, 133, 134, 135, 138, 139, 142, 143, 149, 150, 153, 155, 160, 164, 165, 166, 173, 177, 180, 183, 184, 185, 187, 193, 204, 206, 209, 211, 214, 216, 217, 218, 219, 220, 222, 224, 226, 228, 229, 232, 234, 237, 238, 239, 240, 241, 244, 245, 246, 247, 248, 250, 252 }
[3]:  [[152, 136, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 0|0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0|1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0]
      [0 1 0 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 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 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1|0 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1]
      [0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1|0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0]
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      [0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 0|0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 0 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1]
      [0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 0 0|0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 1]
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last modified: 2009-02-08

Notes


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