Bounds on the minimum distance of additive quantum codes

Bounds on [[195,181]]2

lower bound:4
upper bound:4

Construction

Construction of a [[195,181,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[195, 181, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 20, 23, 29, 42, 46, 62, 71, 79, 91, 93, 102, 114, 116, 119, 120, 121, 122, 123, 124, 126, 128, 130, 139, 141, 144, 150, 181, 183, 187, 206, 208, 209, 215, 218, 220, 221, 223, 224, 225, 226, 227, 228, 229, 231, 235, 237, 238, 241, 242, 244, 246, 247, 248, 249, 250, 251, 252 }

    stabilizer matrix:

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

Notes


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