Bounds on the minimum distance of additive quantum codes

Bounds on [[69,3]]2

lower bound:16
upper bound:23

Construction

Construction type: DastbastehLisonek

Construction of a [[69,3,16]] quantum code:
[1]:  [[69, 3, 16]] quantum code over GF(2^2)
     quasicyclic code of length 69 stacked to height 2 with 2 generating polynomials

    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 1 0 1 1 1 0 1 1 1 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 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 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 1]
      [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 1 1 0 0 1 0 0 0 1 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0]
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last modified: 2020-10-24

Notes


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