P. Kewat

activity

20122026

most citedOn the local and global exterior square L-functions

5 citations · 12 across the 12 of their papers we have counts for

collaborators

12 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…

cs.IT2015

Autocorrelation values and Linear complexity of generalized cyclotomic sequence of order four, and construction of cyclic codes

Priti Kumari, Pramod Kumar Kewat

Let $n_{1}$ and $n_{2}$ be two distinct primes with $gcd (n_{1} - 1, n_{2} - 1) = 4$ . In this paper, we compute the autocorrelation values of generalized cyclotomic sequence of order $4$ .…

cs.IT2015

Cyclic codes over the ring $F_{p} [u, v, w] / ⟨ u^{2}, v^{2}, w^{2}, uv - v u, v w - w v, u w - w u ⟩$

Pramod Kumar Kewat, Sarika Kushwaha

In this paper, we investigate cyclic codes over the ring $F_{p} [u, v, w] ⟨ u^{2},$ $v^{2}, w^{2}$ , $uv - v u, v w - w v, u w - w u ⟩$ , where $p$ is a prime number. Which is a part…

cs.IT2015★ 1 cited

Cyclic codes from the first class two-prime Whiteman's generalized cyclotomic sequence with order 6

Pramod Kumar Kewat, Priti Kumari

Binary Whiteman's cyclotomic sequences of orders 2 and 4 have a number of good randomness properties. In this paper, we compute the autocorrelation values and linear complexity of…

cs.IT2015★ 4 cited

Cyclic codes over the ring $F_{p} [u, v] / ⟨ u^{k}, v^{2}, uv - v u ⟩$

Bappaditya Ghosh, Pramod Kumar Kewat

Let $p$ be a prime number. In this paper, we discuss the structures of cyclic codes over the ring $F_{p} [u, v] / ⟨ u^{k}, v^{2}, uv - v u ⟩$ . We find a unique set of ge…

cs.IT2015★ 1 cited

Cyclic codes from the second class two-prime Whiteman's generalized cyclotomic sequence with order 6

Pramod Kumar Kewat, Priti Kumari

Let $n_{1} = e f + 1$ and $n_{2} = e f^{'} + 1$ be two distinct odd primes with positive integers $e, f, f^{'} .$ In this paper, the two-prime Whiteman's generalized cyclotomic sequence of order $e=6…

cs.IT2014★ 1 cited

Cyclic codes over the ring $Z_{p} [u, v] / ⟨ u^{2}, v^{2}, uv - v u ⟩$

Pramod Kumar Kewat, Bappaditya Ghosh, Sukhamoy Pattanayak

Let $p$ be a prime number. In this paper, we study cyclic codes over the ring $Z_{p} [u, v] / ⟨ u^{2}, v^{2}, uv - v u ⟩$ . We find a unique set of generators for these codes. We a…

cs.IT2012

On cyclic codes over the ring $Z_{p} + u Z_{p} + ... + u^{k - 1} Z_{p}$

Abhay Kumar Singh, Pramod Kumar Kewat

In this paper, we study cyclic codes over the ring $Z_{p} + u Z_{p} + ... + u^{k - 1} Z_{p}$ , where $u^{k} = 0$ . We find a set of generator for these codes. We also study the rank, the dual…

math.NT2012★ 5 cited

On the local and global exterior square L-functions

Pramod Kumar Kewat, Ravi Raghunathan

We show that the local exterior square L-functions of GL_n constructed via the theory of integral representations by Jacquet and Shalika coincide with those constructed by the Lang…

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