R K Sharma

collaborators

4 papers

math.NT2023

On pairs of $r$ -primitive and $k$ -normal elements with prescribed traces over finite fields

Aakash Choudhary, R. K. Sharma

Given $F_{q^{n}}$ , a field with $q^{n}$ elements, where $q$ is a prime power and $n$ is positive integer. For $r_{1}, r_{2}, m_{1}, m_{2} \in N$ , $k_1,k_2 \in \mathbb{N}\cup…

cs.IT2023

Construction of Additive Complementary Dual Codes Over Finite Fields

Gyanendra K. Verma, R. K. Sharma

In this work, we investigate additive complementary dual (ACD) codes and their construction over finite fields $F_{q^{2}}$ with respect to the trace inner products, where $q…

cs.IT2022

Construction Methods for Galois LCD codes over Finite Fields

Gyanendra K. Verma, Astha Agrawal, R. K. Sharma

In this article, first we present a method for constructing many Hermitian LCD codes from a given Hermitian LCD code, and then provide several methods which utilize either a given…

cs.IT2022

Galois LCD Codes Over Fq + uFq + vFq + uvFq

Astha Agrawal, Gyanendra K. Verma, R. K. Sharma

In \cite{anote}, Wu and Shi studied $l$ -Galois LCD codes over finite chain ring $R = F_{q} + u F_{q}$ , where $u^{2} = 0$ and $q = p^{e}$ for some prime $p$ and positi…

On pairs of r-primitive and k-normal elements with prescribed traces over finite fields

Construction of Additive Complementary Dual Codes Over Finite Fields

Construction Methods for Galois LCD codes over Finite Fields

Galois LCD Codes Over Fq + uFq + vFq + uvFq

On pairs of $r$ -primitive and $k$ -normal elements with prescribed traces over finite fields