Om Prakash

activity

20242026

collaborators

4 papers

cs.IT2026

Construction of Cyclic Codes over a Class of Matrix Rings

Soham Ravikant Joshi, Shikha Patel, Om Prakash

Let $F_{2} [u] / ⟨ u^{k} ⟩ = F_{2} + u F_{2} + u^{2} F_{2} + \dots + u^{k - 1} F_{2},$ where $u^{k} = 0$ for a positive integer $k$ , and $\mathcal{R}=M_4 (\mat…

cs.IT2025

Encoding and Construction of Quantum Codes from $(I^^{3}, I^)$ -cyclic Codes over a Class of Non-chain Rings

Om Prakash, Shikha Patel, Habibul Islam

Let $F_{q}$ be a finite field of $q = p^{m}$ elements where $p$ is a prime and $m$ is a positive integer. This paper considers $(I^^{3}, I^)$ -cyclic codes over a class of finite non-…

cs.IT2025

DNA codes from $(\text{\textbaro}, \mathfrak{d}, Î³)$-constacyclic codes over $Z_{4} + I ¨ Z_{4}$

Priyanka Sharma, Ashutosh Singh, Om Prakash

This work introduces a novel approach to constructing DNA codes from linear codes over a non-chain extension of $Z_{4}$ . We study $(\text{\textbaro},\mathfrak{d}, Î³)$-const…

math.CO2024

Roman domination number of zero-divisor graphs over commutative rings

Ravindra Kumar, Om Prakash

For a graph $G = (V, E)$ , a Roman dominating function is a map $f : V \to {0, 1, 2}$ satisfies the property that if $f (v) = 0$ , then $v$ must have adjacent to at least one…

Construction of Cyclic Codes over a Class of Matrix Rings

Encoding and Construction of Quantum Codes from (I^3,I^)-cyclic Codes over a Class of Non-chain Rings

DNA codes from $(\text{\textbaro}, \mathfrak{d}, Î³)$-constacyclic codes over Z4​+I¨Z4​

Roman domination number of zero-divisor graphs over commutative rings

Encoding and Construction of Quantum Codes from $(I^^{3}, I^)$ -cyclic Codes over a Class of Non-chain Rings

DNA codes from $(\text{\textbaro}, \mathfrak{d}, Î³)$-constacyclic codes over $Z_{4} + I ¨ Z_{4}$