The \(b\)-symbol weight distributions of all semiprimitive irreducible cyclic codes

DOI10.1007/s10623-023-01193-wzbMath1526.94060arXiv2206.03459MaRDI QIDQ6041584

Gerardo Vega

Publication date: 31 May 2023

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.03459

zbMATH Keywords

\(b\)-symbol error\(b\)-symbol Hamming weight distributionsemiprimitive irreducible cyclic code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Cyclic codes (94B15)

Cites Work

• Unnamed Item
• All two-weight irreducible cyclic codes?
• Maximum distance separable codes for \(b\)-symbol read channels
• Hamming weights in irreducible cyclic codes
• Complete \(b\)-symbol weight distribution of some irreducible cyclic codes
• A characterization of all semiprimitive irreducible cyclic codes in terms of their lengths
• Constructions and Decoding of Cyclic Codes Over <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math> </inline-formula>-Symbol Read Channels
• On subfield subcodes of modified Reed-Solomon codes (Corresp.)
• Fundamentals of Error-Correcting Codes
• A note on evaluations of some exponential sums
• Geometric Approach tob-Symbol Hamming Weights of Cyclic Codes

This page was built for publication: The \(b\)-symbol weight distributions of all semiprimitive irreducible cyclic codes