Bounds on the minimum distance of additive quantum codes

Bounds on [[106,40]]2

lower bound:12
upper bound:22

Construction

Construction of a [[106,40,12]] quantum code:
[1]:  [[106, 42, 12]] quantum code over GF(2^2)
     ConstructionX using cyclic codes [105,74], [105,73], and auxiliary code [1,1]
[2]:  [[106, 41, 12]] quantum code over GF(2^2)
     Subcode of [1]
[3]:  [[106, 40, 12]] quantum code over GF(2^2)
     Subcode of [2]

    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 1 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 1 0|0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 1 1]
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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