Bounds on the minimum distance of additive quantum codes

Bounds on [[111,80]]2

lower bound:6
upper bound:9

Construction

Construction of a [[111,80,6]] quantum code:
[1]:  [[128, 105, 6]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[106, 83, 6]] quantum code over GF(2^2)
     Shortening of [1] at { 3, 23, 33, 58, 61, 62, 65, 66, 67, 71, 79, 93, 96, 102, 106, 109, 110, 113, 115, 125, 126, 127 }
[3]:  [[106, 80, 6]] quantum code over GF(2^2)
     Subcode of [2]
[4]:  [[111, 80, 6]] quantum code over GF(2^2)
     ExtendCode [3] by 5

    stabilizer matrix:

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