Bounds on the minimum distance of additive quantum codes

Bounds on [[101,12]]2

lower bound:18
upper bound:30

Construction

Construction of a [[101,12,18]] quantum code:
[1]:  [[86, 12, 18]] quantum code over GF(2^2)
     ConstructionX using cyclic codes [85,49], [85,48], and auxiliary code [1,1]
[2]:  [[101, 12, 18]] quantum code over GF(2^2)
     ExtendCode [1] by 15

    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 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 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 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 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 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 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 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
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last modified: 2020-08-21

Notes


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