Abstract

Motivated by a generalization of the football pool problem, we introduce additive cyclic codes over mixed alphabets of the form [Formula: see text] where [Formula: see text], [Formula: see text] for distinct primes [Formula: see text]. We study their algebraic properties, generating sets, and duals. Additionally, we give examples of additive cyclic codes over the alphabet [Formula: see text] that have best-known or optimal parameters.

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