O. Prakash

activity

20172024

most citedCyclic codes over a non-chain ring

R_{e, q}

and their application to LCD codes

1 citations · 1 across the 9 of their papers we have counts for

collaborators

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8 papers · 1 filter

cs.IT2024

Galois hulls of constacyclic codes over affine algebra rings

Indibar Debnath, Habibul Islam, Edgar Martínez-Moro +1

Let $A$ the affine algebra given by the ring $F_{q} [X_{1}, X_{2}, \dots, X_{ℓ}] / I$ , where $I$ is the ideal $⟨ t_{1} (X_{1}), t_{2} (X_{2}), \dots, t_{ℓ} (X_{ℓ})⟩$ …

cs.IT2023

$F_{q} R$ -skew cyclic codes and their application to quantum codes

Om Prakash, Shikha Patel, Habibul Islam

Let $p$ be a prime and $F_{q}$ be the finite field of order $q = p^{m}$ . In this paper, we study $F_{q} R$ -skew cyclic codes where $\mathcal{R}=\mathbb{F}_q+u\ma…

cs.IT2021★ 1 cited

Cyclic codes over a non-chain ring $R_{e, q}$ and their application to LCD codes

Habibul Islam, Edgar Martínez-Moro, Om Prakash

Let $F_{q}$ be a finite field of order $q$ , a prime power integer such that $q = e t + 1$ where $t \geq 1, e \geq 2$ are integers. In this paper, we study cyclic codes of length $n$ …

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…

cs.IT2019

Reversible cyclic codes over $F_{q} + u F_{q}$

Om Prakash, Shikha Patel, Shikha Yadav

Let $q$ be a power of a prime $p$ . In this paper, we study reversible cyclic codes of arbitrary length over the ring $R = F_{q} + u F_{q}$ , where $u^{2} = 0 m o d q$ . Firs…

cs.IT2018

Skew cyclic codes over F_{p}+uF_{p}+\dots +u^{k-1}F_{p}

Om Prakash, Habibul Islam

In this article, we study the skew cyclic codes over R_{k}=F_{p}+uF_{p}+\dots +u^{k-1}F_{p} of length n. We characterize the skew cyclic codes of length $n$ over R_{k} as free left…

Galois hulls of constacyclic codes over affine algebra rings

Fq​R-skew cyclic codes and their application to quantum codes

Cyclic codes over a non-chain ring Re,q​ and their application to LCD codes

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

Reversible cyclic codes over Fq​+uFq​

Skew cyclic codes over F_{p}+uF_{p}+\dots +u^{k-1}F_{p}

$F_{q} R$ -skew cyclic codes and their application to quantum codes

Cyclic codes over a non-chain ring $R_{e, q}$ and their application to LCD codes

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

Reversible cyclic codes over $F_{q} + u F_{q}$