Bounds on the minimum distance of additive quantum codes

Bounds on [[103,45]]2

lower bound:10
upper bound:20

Construction

Construction of a [[103,45,10]] quantum code:
[1]:  [[104, 46, 11]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[104, 45, 11]] quantum code over GF(2^2)
     Subcode of [1]
[3]:  [[103, 45, 10]] quantum code over GF(2^2)
     Puncturing of [2] at { 104 }

    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 1 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 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 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 1 1 0 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 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 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