Bounds on the minimum distance of additive quantum codes

Bounds on [[65,0]]2

lower bound:16
upper bound:23

Construction

Construction of a [[65,0,16]] quantum code:
[1]:  [[65, 0, 16]] self-dual quantum code over GF(2^2)
     cyclic code of length 65 with generating polynomial x^62 + w^2*x^58 + x^57 + w*x^56 + w*x^55 + x^54 + x^53 + w*x^51 + w*x^50 + w^2*x^49 + x^48 + w^2*x^47 + w*x^46 + w*x^45 + x^43 + x^42 + w*x^41 + w*x^40 + x^39 + w^2*x^38 + x^34 + x^31 + 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 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 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 1 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 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 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 0]
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last modified: 2009-02-08

Notes


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