Om Prakash

activity

20232026

collaborators

6 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…

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…

cs.IT2024

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

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 $(\text{\textbaro},\mathfrak{d}, γ)$-consta…

cs.IT2024

Encoding and Construction of Quantum Codes from $(γ, Δ)$ -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 $(γ, Δ)$ -cyclic codes over a class of finite non-ch…

cs.IT2024

Double skew cyclic codes over $F_{q} + v F_{q}$

Ashutosh Singh, Tulay Yildirim, Om Prakash

In this study, in order to get better codes, we focus on double skew cyclic codes over the ring $R = F_{q} + v F_{q}, v^{2} = v$ where $q$ is a prime power. We inve…

cs.IT2023

Construction of $(σ, δ)$ -cyclic codes over a non-chain ring and their applications in DNA codes

Ashutosh Singh, Priyanka Sharma, Om Prakash

For a prime $p$ and a positive integer $m$ , let $F_{p^{m}}$ be the finite field of characteristic $p$ , and $R_{l} := F_{p^{m}} [v] / ⟨ v^{l} - v ⟩$ be a no…

Construction of Cyclic Codes over a Class of Matrix Rings

Roman domination number of zero-divisor graphs over commutative rings

DNA codes from $(\text{\textbaro}, \mathfrak{d}, γ)$-constacyclic codes over Z4​+ωZ4​

Encoding and Construction of Quantum Codes from (γ,Δ)-cyclic Codes over a Class of Non-chain Rings

Double skew cyclic codes over Fq​+vFq​

Construction of (σ,δ)-cyclic codes over a non-chain ring and their applications in DNA codes

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

Encoding and Construction of Quantum Codes from $(γ, Δ)$ -cyclic Codes over a Class of Non-chain Rings

Double skew cyclic codes over $F_{q} + v F_{q}$

Construction of $(σ, δ)$ -cyclic codes over a non-chain ring and their applications in DNA codes