One-weight codes in some classes of group rings

Raul Antonio Ferraz,Ruth Nascimento Ferreira

Applicable Algebra in Engineering, Communication and Computing（2020）

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Abstract

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_qG 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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Key words

One weight codes,Cyclic group,Abelian group

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