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pro vyhledávání: '"Kewat, Pramod Kumar"'
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. Inspired by these works, we choose the mixed alphabet ring $\mathbb{Z}_2\math
Externí odkaz:
http://arxiv.org/abs/2205.06470
Autor:
Kewat, Pramod Kumar, Kumar, Ram
For non-negative integers $l_{1}, l_{2},\ldots, l_{n}$, we define character sums $\varphi_{(l_{1}, l_{2},\ldots, l_{n})}$ and $\psi_{(l_{1}, l_{2},\ldots, l_{n})}$ over a finite field which are generalizations of Jacobsthal and modified Jacobsthal su
Externí odkaz:
http://arxiv.org/abs/2102.07086
Publikováno v:
In Discrete Mathematics December 2023 346(12)
Publikováno v:
In Discrete Mathematics November 2021 344(11)
Autor:
Kewat, Pramod Kumar, Kumar, Ram
Let $q$ be a prime power and $\mathbb{F}_q$ be a finite field with $q$ elements. Let $e$ and $d$ be positive integers. In this paper, for $d\geq2$ and $q\equiv1(\mathrm{mod}~ed(d-1))$, we calculate the number of points on an algebraic curve $E_{e,d}:
Externí odkaz:
http://arxiv.org/abs/1604.07613
Autor:
Kumari, Priti, Kewat, Pramod Kumar
Let $n_1$ and $n_2$ be two distinct primes with $\mathrm{gcd}(n_1-1,n_2-1)=4$. In this paper, we compute the autocorrelation values of generalized cyclotomic sequence of order $4$. Our results show that this sequence can have very good autocorrelatio
Externí odkaz:
http://arxiv.org/abs/1510.05467
Autor:
Kewat, Pramod Kumar, Kumari, Priti
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 the first class two-prime Whiteman's generalized cyclotomic sequence (
Externí odkaz:
http://arxiv.org/abs/1509.07714
Autor:
Kewat, Pramod Kumar, Kushwaha, Sarika
In this paper, we investigate cyclic codes over the ring $ \mathbb{F}_p[u,v,w]\langle u^2,$ $v^2, w^2$, $uv-vu, vw-wv, uw-wu \rangle$, where $p$ is a prime number. Which is a part of family of Frobenius rings. We find a unique set of generators for t
Externí odkaz:
http://arxiv.org/abs/1509.04221
Autor:
Ghosh, Bappaditya, Kewat, Pramod Kumar
Let $p$ be a prime number. In this paper, we discuss the structures of cyclic codes over the ring $ \mathbb{F}_p[u, v] / \langle u^k, v^2, uv-vu\rangle$. We find a unique set of generators for these codes. We also study the rank and the Hamming dista
Externí odkaz:
http://arxiv.org/abs/1508.07034
Cyclic codes from the second class two-prime Whiteman's generalized cyclotomic sequence with order 6
Autor:
Kewat, Pramod Kumar, Kumari, Priti
Let $n_1=ef+1$ and $n_2=ef'+1$ be two distinct odd primes with positive integers $e,\ f,\ f'.$ In this paper, the two-prime Whiteman's generalized cyclotomic sequence of order $e=6$ is employed to construct several classes of cyclic codes over $\math
Externí odkaz:
http://arxiv.org/abs/1507.05506