Shikha Patel

activity

20192024

collaborators

4 papers

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.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.IT2019

Skew Generalized Polycyclic Codes with Derivations

Shikha Patel, Om Prakash

In this paper, we first consider the iterated skew polynomial ring $R [z_{1}; τ_{1}, δ_{τ_{1}}]$ \$[z_2;τ_2,δ_{τ_2}] $, w h er e$ \mathscr{R}$ is a finite ring with unity. Then we use…

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

Reversible cyclic codes over Fq​+uFq​

Skew Generalized Polycyclic Codes with Derivations

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

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