Classification of some cosets of the Reed-Muller code

DOI10.1007/s12095-023-00652-4OpenAlexW4311841112MaRDI QIDQ6088857

Valérie Gillot, Philippe Langevin

Publication date: 14 December 2023

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-023-00652-4

zbMATH Keywords

covering radiusBoolean functionerror correcting codeRM-code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Boolean functions (94D10)

Cites Work

• On the degree of homogeneous bent functions
• \(AGL(m,2)\) acting on \(R(r,m)/R(s,m)\)
• The covering radius of the Reed-Muller code \(\text{RM}(2, 7)\) is \(40\)
• ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREE
• Lectures on Finite Fields
• The Covering Radius of the Reed–Muller Code RM(m – 4, m) in RM(m – 3, m)
• A Classification of the Cosets of the Reed-Muller Code R (1, 6)
• Unnamed Item

This page was built for publication: Classification of some cosets of the Reed-Muller code