The Extended Reed-Solomon Codes Considered as Ideals or a Modular Algebra
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Publication:3323842
DOI10.1016/S0304-0208(08)73384-XzbMath0537.94016OpenAlexW1505280682MaRDI QIDQ3323842
Publication date: 1983
Published in: Combinatorial Mathematics, Proceedings of the International Colloquium on Graph Theory and Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0304-0208(08)73384-x
Linear codes (general theory) (94B05) Finite fields and commutative rings (number-theoretic aspects) (11T99) Ideals and multiplicative ideal theory in commutative rings (13A15)
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On self-dual affine-invariant codes ⋮ A group algebra construction of binary even self dual codes ⋮ Définition et caractérisation d'une dimension minimale pour les codes principaux nilpotents d'une algèbre modulaire de p-groupe abélien élémentaire. (Definition and characterization of a minimal dimension for the nilpotent principal codes of a modular algebra of the elementary Abelian p-group) ⋮ Self-dual codes which are principal ideals of the group algebra \(\mathbb{F}_ 2[\{\mathbb{F}_{2^ m},+\}\)] ⋮ Codes cycliques étendus affines-invariants et antichaines d'un ensemble partiellement ordonné. (Affine-invariant extended cyclic codes and antichains of a partially ordered set.) ⋮ The automorphism group of Generalized Reed-Muller codes ⋮ Classical codes as ideals in group algebras ⋮ Group codes on certain algebraic curves with many rational points ⋮ Unnamed Item ⋮ A description of some extended cyclic codes with application to Reed- Solomon codes ⋮ Codes over \(p\)-adic numbers and finite rings invariant under the full affine group
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