Bounds on the minimum distance of additive quantum codes

Bounds on [[88,36]]2

lower bound:12
upper bound:18

Construction

Construction of a [[88,36,12]] quantum code:
[1]:  [[86, 36, 12]] quantum code over GF(2^2)
     ConstructionX using constacyclic codes [85,25], [85,24], and auxiliary code [1,1]
[2]:  [[88, 36, 12]] quantum code over GF(2^2)
     ExtendCode [1] by 2

    stabilizer matrix:

      [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 1 1 1 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0|1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 0 0 1 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 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 0|1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0]
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last modified: 2020-07-29

Notes


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