Ashutosh Singh

activity

20202024

collaborators

5 papers

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

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…

cs.IT2022

Quantum Codes from additive constacyclic codes over a mixed alphabet and the MacWilliams identities

Indibar Debnath, Ashutosh Singh, Om Prakash +1

Let $Z_{p}$ be the ring of integers modulo a prime number $p$ where $p - 1$ is a quadratic residue modulo $p$ . This paper presents the study of constacyclic codes over chain r…

cs.IT2020

New non-binary quantum codes from skew constacyclic codes over the ring $F_{p^{m}} + v F_{p^{m}} + v^{2} F_{p^{m}}$

Ram Krishna Verma, Om Prakash, Ashutosh Singh

In this article, we construct new non-binary quantum codes from skew constacyclic codes over finite commutative non-chain ring $\mathcal{R}= \mathbb{F}_{p^m}[v]/\langle v^3 =v \ran…

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

Double skew cyclic codes over Fq​+vFq​

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

Quantum Codes from additive constacyclic codes over a mixed alphabet and the MacWilliams identities

New non-binary quantum codes from skew constacyclic codes over the ring Fpm​+vFpm​+v2Fpm​

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

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

New non-binary quantum codes from skew constacyclic codes over the ring $F_{p^{m}} + v F_{p^{m}} + v^{2} F_{p^{m}}$