Bounds on the minimum distance of additive quantum codes

Bounds on [[113,43]]2

lower bound:12
upper bound:24

Construction

Construction of a [[113,43,12]] quantum code:
[1]:  [[113, 57, 12]] quantum code over GF(2^2)
     cyclic code of length 113 with generating polynomial w*x^112 + x^111 + w*x^109 + w*x^108 + w*x^105 + w*x^103 + w^2*x^101 + x^99 + w*x^98 + x^96 + x^94 + w^2*x^92 + w*x^89 + w^2*x^88 + w*x^86 + x^85 + w*x^83 + x^82 + w^2*x^81 + w^2*x^80 + x^79 + w*x^78 + w*x^77 + x^74 + w*x^73 + w*x^68 + x^67 + w*x^64 + w*x^63 + x^62 + w^2*x^61 + w^2*x^60 + x^59 + w*x^58 + x^56 + w*x^55 + w^2*x^53 + w*x^52 + w^2*x^49 + x^47 + x^45 + w*x^43 + x^42 + w^2*x^40 + w*x^38 + w*x^36 + w*x^33 + w*x^32 + x^30 + w*x^29 + x^28 + 1
[2]:  [[113, 43, 12]] quantum code over GF(2^2)
     Subcode of [1]

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