Bounds on the minimum distance of additive quantum codes

Bounds on [[81,73]]2

lower bound:3
upper bound:3

Construction

Construction type: BierbrauerFainaGiuliettiMarcuginiPambianco

Construction of a [[81,73,3]] quantum code:
[1]:  [[81, 73, 3]] quantum code over GF(2^2)
     Construction from a stored generator matrix

    stabilizer matrix:

      [1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1|1 1 1 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0]
      [0 1 0 0 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0|0 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0]
      [0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1|1 0 1 0 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 0 0 0]
      [0 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 1 1|0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0]
      [0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0|1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0]
      [0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 0|0 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 1 0 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 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]

last modified: 2009-02-08

Notes


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