Marvin Olavides

collaborators

2 papers

cs.IT2026

Cyclic codes over a commutative non-unitary ring of order 4

Marvin Olavides, Jon-Lark Kim

Let $I_{2}$ be the commutative non-unitary ring of order $4$ arising in the classification of Fine. In this paper, we investigate cyclic codes over $I_{2}$ through their associated res…

cs.IT2026

Construction of self-orthogonal codes over a commutative non-unitary ring of order 25

Jon-Lark Kim, Marvin Olavides, Young Gun Roe

Codes over non-unitary rings have been studied recently. In particular, codes over the commutative non-unitary ring $I_{p}$ (in the classification of Fine) of order $p^{2}$ where $p$ i…