Bounds on the minimum distance of additive quantum codes

Bounds on [[254,240]]2

lower bound:4
upper bound:4

Construction

Construction of a [[254,240,4]] quantum code:
[1]:  [[286, 272, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[254, 240, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 74, 117, 175, 184, 190, 192, 207, 232, 248, 250, 251, 252, 253, 254, 255, 256, 262, 263, 265, 266, 270, 271, 272, 275, 276, 277, 278, 280, 282, 283, 284, 286 }

    stabilizer matrix:

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

Notes


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