Cyclic codes over the ring Z2k+uZ2k

Autor: Tapia-Recillas, Horacio, Velazco-Velazco, J. Armando
Zdroj: São Paulo Journal of Mathematical Sciences; 20240101, Issue: Preprints p1-14, 14p
Abstrakt: The purpose of this manuscript is two-fold. First, properties of the ring Rk=Z2k+uZ2kand the set of ideals are established. Second, results on cyclic codes of length n, gcd(2,n)=1, over the non-chain Frobenius ring Rkand their description by means of idempotent elements are presented.
Databáze: Supplemental Index