CODES OVER THE MULTIPLICATIVE HYPERRINGS

CODES OVER THE MULTIPLICATIVE HYPERRINGS

S. Y. Akbiyik

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Abstract

Codes over hyperstructures have more codewords than codes over rings(or elds). It implies that they have higher rate than codes over rings (or elds). So, in this paper the codes over multiplicative hyperrings are studied. Linear codes and the cyclic codes over multiplicative hyperrings are constructed.

Keywords

Hyperring, multiplicative hyperring, linear codes, cyclic codes.