P. Kewat

activity

20162026

collaborators

4 papers

cs.IT2026

On the Hamming Distance and LCD Properties of Binary Polycyclic Codes and Their Duals

Sujata Bansal, Pramod Kumar Kewat

Polycyclic codes offer a natural generalization of cyclic codes and provide a broader algebraic framework for constructing linear codes with good parameters. In this paper, we stud…

cs.IT2022

A class of few-Lee weight $Z_{2} [u]$ -linear codes using simplicial complexes and minimal codes via Gray map

Pramod Kumar Kewat, Nilay Kumar Mondal

Recently some mixed alphabet rings are involved in constructing few-Lee weight additive codes with optimal or minimal Gray images using suitable defining sets or down-sets. Inspire…

math.NT2021

Generalizations of Jacobsthal sums and hypergeometric series over finite fields

Pramod Kumar Kewat, Ram Kumar

For non-negative integers $l_{1}, l_{2}, \dots, l_{n}$ , we define character sums $φ_{(l_{1}, l_{2}, \dots, l_{n})}$ and $ψ_{(l_{1}, l_{2}, \dots, l_{n})}$ over a finite field which…

math.NT2016

Hypergeometric functions and algebraic curves $y^{e} = x^{d} + a x + b$

Pramod Kumar Kewat, Ram Kumar

Let $q$ be a prime power and $F_{q}$ be a finite field with $q$ elements. Let $e$ and $d$ be positive integers. In this paper, for $d \geq 2$ and $q\equiv1(\mathrm{mod}~ed(d-1…

On the Hamming Distance and LCD Properties of Binary Polycyclic Codes and Their Duals

A class of few-Lee weight Z2​[u]-linear codes using simplicial complexes and minimal codes via Gray map

Generalizations of Jacobsthal sums and hypergeometric series over finite fields

Hypergeometric functions and algebraic curves ye=xd+ax+b

A class of few-Lee weight $Z_{2} [u]$ -linear codes using simplicial complexes and minimal codes via Gray map

Hypergeometric functions and algebraic curves $y^{e} = x^{d} + a x + b$