Title

Additive cyclic codes over mixed alphabets and the football pool problem

Document Type

Article

Publication Date

2-2017

Abstract

Motivated by a generalization of the football pool problem, we introduce additive cyclic codes over mixed alphabets of the form Fq1×Fq2 where q1=pm11, q2=pm22 for distinct primes p1,p2. We study their algebraic properties, generating sets, and duals. Additionally, we give examples of additive cyclic codes over the alphabet Z2Z3 that have best-known or optimal parameters.

Journal

Discrete Mathematics, Algorithms and Applications

Volume

9

Issue

1

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