Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes. I

DOI10.1016/j.ffa.2022.102146OpenAlexW4313479007MaRDI QIDQ2677315

Henk D. L. Hollmann

Publication date: 13 January 2023

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2022.102146

zbMATH Keywords

cyclic codelinear recurrence relationirreducible cyclic codelinear recurring sequence\(f\)-subgrouplinear recurring sequence subgroupnon-standard sequence subgroup\(f\)-sequencenon-standard cyclic codepermutation automorphism

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Recurrences (11B37) Cyclic codes (94B15) Subgroups of abelian groups (20K27)

Related Items

Standard sequence subgroups in finite fields ⋮ Non-standard sequence subgroups in finite fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Matrix-product structure of repeated-root cyclic codes over finite fields
• On the permutation groups of cyclic codes
• The automorphism group of Generalized Reed-Muller codes
• Classification algorithms for codes and designs
• Non-standard sequence subgroups in finite fields
• Galois theory and linear algebra
• Twisted tensor product codes
• The automorphism groups of Reed-Solomon codes
• Codes with prescribed permutation group
• Linear recurring sequence subgroups in finite fields.
• The automorphism groups of BCH codes and of some affine-invariant codes over extension fields
• Basic number theory.
• An introduction to abstract algebra
• Some basic results on finite linear recurring sequence subgroups
• Sequence subgroups generated by lifting
• Automorphism groups of cyclic codes
• Second order linear sequence subgroups in finite fields
• Standard sequence subgroups in finite fields
• Error-correcting linear codes. Classification by isometry and applications. With CD-ROM
• Second order linear sequence subgroups in finite fields. II
• On the concept of code-isomorphy
• Linear Recurring Sequences
• The permutation group of affine-invariant extended cyclic codes
• Fundamentals of Error-Correcting Codes
• The automorphism groups of the generalized quadratic residue codes
• On generalizations of repeated-root cyclic codes
• The classification of \frac{3}2-transitive permutation groups and \frac{1}2-transitive linear groups
• The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules
• Linear Recurring Sequences over Finite Fields.
• Linear Recursive Sequences
• Linear permutation polynomials with coefficients in a subfield
• Introduction to Coding Theory

This page was built for publication: Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes. I