One-weight codes in some classes of group rings

One-weight codes in some classes of group rings

Let F q be a finite field with q elements and G be a finite abelian group. In this work we gave conditions to ensure that a code in F q G is a one-weight code in the case when G is a cyclic group with n elements, such that gcd ( n , q ) = 1 , and also when G is an abelian group.

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Veröffentlicht in:Applicable algebra in engineering, communication and computing communication and computing, 2021-06, Vol.32 (3), p.299-309
Hauptverfasser: Ferraz, Raul Antonio, Ferreira, Ruth Nascimento
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Computer Hardware
Computer Science
Fields (mathematics)
Group theory
Original Paper
Rings (mathematics)
Symbolic and Algebraic Manipulation
Theory of Computation
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Zusammenfassung:Let F q be a finite field with q elements and G be a finite abelian group. In this work we gave conditions to ensure that a code in F q G is a one-weight code in the case when G is a cyclic group with n elements, such that gcd ( n , q ) = 1 , and also when G is an abelian group.
ISSN:0938-1279
1432-0622
DOI:10.1007/s00200-020-00471-7