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Avtomatika i Telemekhanika, 2016, Issue 10, Pages 109–122 (Mi at14568)  
System Analysis and Operations Research

Vectorizing computations at decoding of nonbinary codes with small density of checks

I. V. Zhilin, F. I. Ivanov

Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
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Abstract: A modification of the decoding $q$-ary Sum Product Algorithm ($q$-SPA) was proposed for the nonbinary codes with small check density based on the permutation matrices. The algorithm described has a vector realization and operates over the vectors defined on the field $GF(q)$, rather than over individual symbols. Under certain code parameters, this approach enables significant speedup of modeling.
Funding agency Grant number
Russian Science Foundation 14-50-00150
This work was carried out at the Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, supported by the grant of the Russian Scientific Foundation, project no. 14-50-00150.
Presented by the member of Editorial Board: B. T. Polyak

Received: 14.07.2015
English version:
Automation and Remote Control, 2016, Volume 77, Issue 10, Pages 1781–1791
DOI: https://doi.org/10.1134/S0005117916100052
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. V. Zhilin, F. I. Ivanov, “Vectorizing computations at decoding of nonbinary codes with small density of checks”, Avtomat. i Telemekh., 2016, no. 10, 109–122; Autom. Remote Control, 77:10 (2016), 1781–1791
Citation in format AMSBIB
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