Correctable Errors of Weight Half the Minimum Distance Plus One for the First-Order Reed-Muller Codes

DOI10.1007/978-3-540-77224-8_15zbMath1180.94079arXiv0804.4042OpenAlexW1532308350MaRDI QIDQ5386084

Kenji Yasunaga, Toru Fujiwara

Publication date: 17 April 2008

Published in: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.4042

zbMATH Keywords

nonlinearityReed-Muller codeBoolean functionSyndrome decodingcorrectable errorlarger half

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Deterministic scheduling theory in operations research (90B35)

Cites Work

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• Error-Correction Capability of Binary Linear Codes
• On cryptographic properties of the cosets of R(1, m)
• Weight distributions of the cosets of the (32,6) Reed-Muller code

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