Marvin Olavides

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cs.IT2026

Some MDS and ACD codes over commutative non-unital rings of orders 4 and 9 (Revision)

Jon-Lark Kim, Marvin Olavides, Young Gun Roe

There are eleven finite rings of order $p^{2}$ denoted by $A_{p}$ to $K_{p}$ in alphabetical order. In particular, we consider $I_{2}$ and $I_{3}$ which are commutative non-unital ring…

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…