Bounds on the minimum distance of additive quantum codes

Bounds on [[100,64]]2

lower bound:8
upper bound:11

Construction

Construction type: linear

Construction of a [[100,64,8]] quantum code:
[1]:  [[100, 64, 8]] 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0|1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 1 0 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 1 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1|1 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 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 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0|0 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 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 1 0 1 0 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1|0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 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 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 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 0 1 1 0 1|1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 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 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1|1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1]
      [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 1 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 1 0 1 0 1 0 0|1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 1]
      [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 1 0 1 1 0 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1|1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 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 1 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0|0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 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 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1|1 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 0 1]
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      [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 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1|0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1]
      [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 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1|1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1]
      [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 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1|0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1]
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last modified: 2009-02-10

Notes


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