Bounds on the minimum distance of additive quantum codes

Bounds on [[107,79]]2

lower bound:6
upper bound:8

Construction

Construction of a [[107,79,6]] quantum code:
[1]:  [[128, 105, 6]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[102, 79, 6]] quantum code over GF(2^2)
     Shortening of [1] at { 3, 23, 58, 60, 62, 64, 72, 75, 78, 79, 80, 81, 82, 84, 85, 86, 88, 92, 97, 99, 104, 105, 113, 114, 120, 122 }
[3]:  [[107, 79, 6]] quantum code over GF(2^2)
     ExtendCode [2] by 5

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0|0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0]
      [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0]
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      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0]
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      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 0 0|0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0]
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last modified: 2006-04-03

Notes


This page is maintained by Markus Grassl (codes@codetables.de). Last change: 23.10.2014