Bounds on the minimum distance of additive quantum codes

Bounds on [[101,59]]2

lower bound:8
upper bound:13

Construction

Construction of a [[101,59,8]] quantum code:
[1]:  [[96, 60, 8]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[96, 59, 8]] quantum code over GF(2^2)
     Subcode of [1]
[3]:  [[100, 59, 8]] quantum code over GF(2^2)
     ExtendCode [2] by 4
[4]:  [[101, 59, 8]] quantum code over GF(2^2)
     ExtendCode [3] by 1

    stabilizer matrix:

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