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Problemy Peredachi Informatsii, 2007, Volume 43, Issue 3, Pages 66–74 (Mi ppi19)  
This article is cited in 3 scientific papers (total in 3 papers)

Coding Theory

List Decoding of Binary First-Order Reed-Muller Codes

I. I. Dumera, G. A. Kabatianskyb, C. Tavernierc

a University of California, Riverside
b A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
c Thales Communication
Full-text PDF (985 kB) Citations (3)
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Abstract: A list decoding algorithm is designed for the first-order binary Reed–Muller codes of length $n$ that reconstructs all codewords located within the ball of radius $\frac n2(1-\varepsilon)$ about the received vector and has the complexity of $\mathcal O(n\ln^2(\min\{\varepsilon^{-2},n\}))$ binary operations.
Received: 15.05.2007
English version:
Problems of Information Transmission, 2007, Volume 43, Issue 3, Pages 225–232
DOI: https://doi.org/10.1134/S0032946007030052
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: I. I. Dumer, G. A. Kabatiansky, C. Tavernier, “List Decoding of Binary First-Order Reed-Muller Codes”, Probl. Peredachi Inf., 43:3 (2007), 66–74; Problems Inform. Transmission, 43:3 (2007), 225–232
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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