Enumeration of certain affine invariant extended cyclic codes

DOI10.1016/j.jcta.2004.10.002zbMath1077.94027OpenAlexW2008848242MaRDI QIDQ1775547

Xiang-Dong Hou

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2004.10.002

zbMATH Keywords

partial ordersimplicial coneaffine linear groupsextended cyclic codesaffine invariant codes

Mathematics Subject Classification ID

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

Related Items

Another generalisation of the binary Reed-Muller codes and its applications, Group code structures of affine-invariant codes, Some algebraic questions about the Reed-Muller code

Cites Work

• Codes cycliques étendus affines-invariants et antichaines d'un ensemble partiellement ordonné. (Affine-invariant extended cyclic codes and antichains of a partially ordered set.)
• On self-dual affine-invariant codes
• The automorphism groups of BCH codes and of some affine-invariant codes over extension fields
• The permutation group of affine-invariant extended cyclic codes
• Some results on cyclic codes which are invariant under the affine group and their applications
• On cyclic codes that are invariant under the general linear group
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