Bounds on the minimum distance of additive quantum codes

Bounds on [[91,40]]2

lower bound:11
upper bound:17

Construction

Construction of a [[91,40,11]] quantum code:
[1]:  [[86, 40, 11]] quantum code over GF(2^2)
     ConstructionX using constacyclic codes [85,23], [85,22], and auxiliary code [1,1]
[2]:  [[91, 40, 11]] quantum code over GF(2^2)
     ExtendCode [1] by 5

    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 1 1 0 1 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0|0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 0 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 1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0|1 1 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 0 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