Restrictions on the weight distribution of binary linear codes imposed by the structure of Reed-Muller codes

DOI10.1109/18.272480zbMath0802.94017OpenAlexW2033041015MaRDI QIDQ4307290

Simonis, Juriaan

Publication date: 4 October 1994

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/827b424a4e00394180e547ee2feea0f6b404728a

zbMATH Keywords

weight distributionbinary linear codeReed-Muller codeaffine code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

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A lemma on polynomials modulo \(p^m\) and applications to coding theory ⋮ On strongly walk regular graphs, triple sum sets and their codes ⋮ A lemma on binomial coefficients and applications to Lee weights modulo \(2^e\) of codes over \(\mathbb Z_4\) ⋮ The degree of functions and weights in linear codes. ⋮ The \([46, 9, 20_2\) code is unique] ⋮ Unnamed Item

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