The automorphism groups of Reed-Solomon codes

DOI10.1016/0097-3165(87)90060-4zbMath0621.94010OpenAlexW1997772212MaRDI QIDQ1090659

Arne Dür

Publication date: 1987

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(87)90060-4

zbMATH Keywords

automorphism groupsReed-Solomon codesMDS codesmaximum distance separable codes

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items

On the full monomial automorphism groups of Reed-Solomon codes and their MDS-extensions, A characterization of MDS codes that have an error correcting pair, On linear MDS codes of length \(q+1\) over GF(q) for even q, Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes. I, Counting generalized Reed-Solomon codes, On automorphisms of geometric Goppa codes, The Poincaré Polynomial of a Linear Code, Complete decoding of doubly-extended Reed-Solomon codes of minimum distance 5 and 6, Cyclic and pseudo-cyclic MDS codes of length \(q + 1\), Quadratic residue codes in their prime, The automorphism group of Generalized Reed-Muller codes, Tensor Representation of Rank-Metric Codes, An intrinsical description of group codes, Systematic encoders for generalized Gabidulin codes and the \(q\)-analogue of Cauchy matrices, Rank-Metric Codes Over Arbitrary Galois Extensions and Rank Analogues of Reed--Muller Codes, A note on good permutation codes from Reed-Solomon codes, How to mask the structure of codes for a cryptographic use, On the cyclicity of Goppa codes, parity-check subcodes of Goppa codes, and extended Goppa codes, The decoding of extended Reed-Solomon codes, On the covering radius of Reed-Solomon codes

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