Bounds on the minimum distance of additive quantum codes

Bounds on [[31,28]]2

lower bound:2
upper bound:2

Construction

Construction of a [[31,28,2]] quantum code:
[1]:  [[30, 28, 2]] quantum code over GF(2^2)
     Distance two code
[2]:  [[31, 28, 2]] quantum code over GF(2^2)
     ExtendCode [1] by 1

    stabilizer matrix:

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

last modified: 2005-06-27

Notes


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