Automorphism groups of cyclic codes

DOI10.1007/s10801-009-0179-yzbMath1195.94083arXiv0810.3440OpenAlexW1995515878MaRDI QIDQ2269529

Benjamin Klopsch, Rolf Bienert

Publication date: 17 March 2010

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

Full work available at URL: https://arxiv.org/abs/0810.3440

zbMATH Keywords

binary cyclic codesautomorphism groups, primitive permutation groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15) Primitive groups (20B15)

Related Items (2)

On the permutation groups of cyclic codes ⋮ Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes. I

Cites Work

• Binary codes from rectangular lattice graphs and permutation decoding
• The factorisation of the alternating and symmetric groups
• Codes with prescribed permutation group
• On the Maximality of Psl(D + 1, q ), d ⩾ 2
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• The Permutation Modules for GL(n +1, F _q ) Acting on P ⁿ (F _q ) and Fqn+1
• Cyclic regular subgroups of primitive permutation groups
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