Doubly-periodic sequences and a class of two-dimensional cyclic codes

DOI10.1016/0196-8858(92)90003-FzbMath0765.16011OpenAlexW2019936531MaRDI QIDQ1190768

Jerry I. Goldman, Homer, Steven

Publication date: 26 September 1992

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(92)90003-f

zbMATH Keywords

coalgebrafinite fieldHopf algebracyclic product codeeventually doubly-periodic sequencesindex recurrencessum of tensor products

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Recurrences (11B37) Cyclic codes (94B15)

Related Items

On the linear complexity for multidimensional sequences ⋮ Bialgebras of linearly recursive sequences

Cites Work

• The Hopf algebra of linearly recursive sequences
• Linear Recurring Sequences
• Doubly-Periodic Sequences and Two-Dimensional Recurrences
• On determining the independent point set for doubly periodic arrays and encoding two-dimensional cyclic codes and their duals
• General theory of doubly periodic arrays over an arbitrary finite field and its applications
• Cyclic product codes
• Binary Codes Which Are Ideals in the Group Algebra of an Abelian Group
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