Bounds on the minimum distance of additive quantum codes

Bounds on [[82,38]]2

lower bound:10
upper bound:15

Construction

Construction of a [[82,38,10]] quantum code:
[1]:  [[82, 40, 10]] quantum code over GF(2^2)
     quasicyclic code of length 82 stacked to height 2 with 4 generating polynomials
[2]:  [[82, 38, 10]] quantum code over GF(2^2)
     Subcode of [1]

    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 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0|0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1]
      [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 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1|0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0 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 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1|0 1 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1]
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last modified: 2008-02-04

Notes


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