H. Islam

activity

20172024

most citedCyclic codes over a non-chain ring

R_{e, q}

and their application to LCD codes

1 citations · 2 across the 9 of their papers we have counts for

collaborators

9 papers

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.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.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.IT2019

Constacyclic codes of length $4 p^{s}$ over the Galois ring $GR (p^{a}, m)$

Om Prakash, Habibul Islam, Ram Krishna Verma

For prime $p$ , $GR (p^{a}, m)$ represents the Galois ring of order $p^{am}$ and characterise $p$ , where $a$ is any positive integer. In this article, we study the Type (1) $λ$ -constacy…

cs.IT2019★ 1 cited

On ZpZp[u, v]-additive cyclic and constacyclic codes

Habibul Islam, Om Prakash

Let $Z_{p}$ be the ring of residue classes modulo a prime $p$ . The $Z_{p} Z_{p} [u, v]$ -additive cyclic codes of length $(α, β)$ is identify as $\mathbb{Z}_{…

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…

cs.IT2017

Skew constacyclic codes over Fq+uFq+vFq

Habibul Islam, Om Prakash

In this paper skew constacyclic codes over finite non-chain ring R = F_q+uF_q+vF_q, where q= p^m, p is an odd prime and u^{2}=u, v^{2}=v, uv = vu = 0 are studied. We show that Gray…

cs.IT2017

Skew cyclic and skew $(α_{1} + u α_{2} + v α_{3} + uv α_{4})$ -constacyclic codes over $F_{q} + u F_{q} + v F_{q} + uv F_{q}$

Habibul Islam, Om Prakash

In this note, we study skew cyclic and skew constacyclic codes over the ring $R = F_{q} + u F_{q} + v F_{q} + uv F_{q}$ where $q = p^{m},$ $p$ is an odd prime, $u^{2}=u,~v^{2}=v,~uv=v…

Galois hulls of constacyclic codes over affine algebra rings

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

Constacyclic codes of length 4ps over the Galois ring GR(pa,m)

On ZpZp[u, v]-additive cyclic and constacyclic codes

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

Skew constacyclic codes over Fq+uFq+vFq

Skew cyclic and skew (α1​+uα2​+vα3​+uvα4​)-constacyclic codes over Fq​+uFq​+vFq​+uvFq​

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

$F_{q} R$ -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

Constacyclic codes of length $4 p^{s}$ over the Galois ring $GR (p^{a}, m)$

Skew cyclic and skew $(α_{1} + u α_{2} + v α_{3} + uv α_{4})$ -constacyclic codes over $F_{q} + u F_{q} + v F_{q} + uv F_{q}$