Bounds on the minimum distance of additive quantum codes

Bounds on [[100,6]]2

lower bound:19
upper bound:32

Construction

Construction of a [[100,6,19]] quantum code:
[1]:  [[86, 8, 19]] quantum code over GF(2^2)
     ConstructionX using cyclic codes [85,47], [85,46], and auxiliary code [1,1]
[2]:  [[86, 7, 19]] quantum code over GF(2^2)
     Subcode of [1]
[3]:  [[100, 7, 19]] quantum code over GF(2^2)
     ExtendCode [2] by 14
[4]:  [[100, 6, 19]] quantum code over GF(2^2)
     Subcode of [3]

    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 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 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 0 0 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 1 0 0 1 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 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 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 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 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
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last modified: 2022-08-02

Notes


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