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Problemy Peredachi Informatsii, 2010, Volume 46, Issue 3, Pages 29–50 (Mi ppi2020)  
This article is cited in 1 scientific paper (total in 1 paper)

Coding Theory

Special classes of separable Goppa codes with improved parameter estimates

S. V. Bezzateev, N. A. Shekhunova

Saint-Petersburg State University of Aerospace Instrumentation
Full-text PDF (308 kB) Citations (1)
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Abstract: We show that subclasses of $q$-ary separable Goppa codes $\Gamma(L,G)$ with $L=\{ \alpha\in GF(q^{2\ell})\colon G(\alpha)\ne0\}$ and with special Goppa polynomials $G(x)$ can be represented as a chain of equivalent and embedded codes. For all codes of the chain we obtain an improved bound for the dimension and find an exact value of the minimum distance. A chain of binary codes is considered as a particular case with specific properties.
Received: 04.12.2009
Revised: 11.05.2010
English version:
Problems of Information Transmission, 2010, Volume 46, Issue 3, Pages 225–244
DOI: https://doi.org/10.1134/S0032946010030038
Bibliographic databases:
Document Type: Article
UDC: 621.391.15+519.7
Language: Russian
Citation: S. V. Bezzateev, N. A. Shekhunova, “Special classes of separable Goppa codes with improved parameter estimates”, Probl. Peredachi Inf., 46:3 (2010), 29–50; Problems Inform. Transmission, 46:3 (2010), 225–244
Citation in format AMSBIB
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\pages 29--50
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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