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Problemy Peredachi Informatsii, 2007, Volume 43, Issue 3, Pages 28–38 (Mi ppi16)  

This article is cited in 2 scientific papers (total in 2 papers)

Coding Theory

Interpolation in List Decoding of Reed–Solomon Codes

P. V. Trifonov

Saint-Petersburg State Polytechnical University
References:
Abstract: We consider the problem of efficient implementation of two-dimensional interpolation in the Guruswami–Sudan list decoding algorithm for Reed–Solomon codes. We show that it can be implemented by computing the product of ideals of interpolation polynomials constructed for subsets of interpolation points. A method for fast multiplication of coprime zero-dimensional ideals is proposed.
Received: 28.11.2006
English version:
Problems of Information Transmission, 2007, Volume 43, Issue 3, Pages 190–198
DOI: https://doi.org/10.1134/S0032946007030027
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: P. V. Trifonov, “Interpolation in List Decoding of Reed–Solomon Codes”, Probl. Peredachi Inf., 43:3 (2007), 28–38; Problems Inform. Transmission, 43:3 (2007), 190–198
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/ppi/v43/i3/p28
  • This publication is cited in the following 2 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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    Full-text PDF :210
    References:37
    First page:11
     
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