Bounds on the minimum distance of additive quantum codes

Bounds on [[76,2]]2

lower bound:17
upper bound:26

Construction

Construction of a [[76,2,17]] quantum code:
[1]:  [[78, 0, 19]] self-dual quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[76, 2, 17]] quantum code over GF(2^2)
     Shortening of the stabilizer code of [1] at { 77 .. 78 }

    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 0 0 0 0 0 0 0 0 0 0 0 0 1 0|0 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 1 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 0 0 0 0 0 0 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 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 0 1]
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last modified: 2022-08-07

Notes


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