On the permutation groups of cyclic codes

DOI10.1007/s10801-012-0399-4zbMath1273.94405arXiv1002.2456OpenAlexW1980470481MaRDI QIDQ356726

Kenza Guenda, T. Aaron Gulliver

Publication date: 26 July 2013

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2456

zbMATH Keywords

BCH codespermutation groupscyclic codestransitive groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Cyclic codes (94B15)

Related Items (3)

Unnamed Item ⋮ Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes. I ⋮ Groups of prime degree and the Bateman-Horn conjecture

Uses Software

• McEliece

Cites Work

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• Multipliers and generalized multipliers of cyclic objects and cyclic codes
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• Automorphism groups of cyclic codes
• On groups of odd prime-power degree that contain a full cycle
• Cyclic permutations in doubly-transitive groups
• On cyclic MDS codes of length q over GF(q) (Corresp.)
• Finite Permutation Groups and Finite Simple Groups
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• Finite Primitive Linear Groups of Prime Degree
• The permutation group of affine-invariant extended cyclic codes
• The Permutation Modules for GL(n +1, F _q ) Acting on P ⁿ (F _q ) and Fqn+1
• A direct proof for the automorphism group of reed solomon codes

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