Bounds on the minimum distance of additive quantum codes

Bounds on [[118,92]]2

lower bound:6
upper bound:8

Construction

Construction of a [[118,92,6]] quantum code:
[1]:  [[118, 92, 6]] quantum code over GF(2^2)
     Construction from a stored generator matrix

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 0 1|0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0]
      [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1|0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0|0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 0 0]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1|0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1|0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 0 1 0 1]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0|0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0|0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1|0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 1 0 1 0|0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0|0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 1|0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0|0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1]
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last modified: 2006-04-03

Notes


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