TARU PUBLICATIONS
Author

Shalini Gupta

Department of Mathematics & Statistics, Summer Hill, Himachal Pradesh University, Shimla, Himachal Pradesh, 171005, India

Published papers
3
Citations
1
Views
983
Downloads
223

Publications

3 papers
Open Access Research Article·pp. 2383–2396·Vol. 28, Issue 6Sep 2025

Some new constructions of irreducible polynomials using composition of polynomials over finite fields

Balkaran Singh, Neetu Dhiman, Shalini Gupta, Ashima

Published Online: 26 Jul 2025DOI: 10.47974/JDMSC-2308

In this paper: Construction of irreducible polynomials hold significant importance in coding theory, complexity theory and cryptography. Irreducible polynomials also helps us to generate non-zero elements of finite...

AbstractReferencesFull Text PDF (430 KB)Views: 262Downloads: 74Citations: 0
Open Access Research Article·pp. 907–930·Vol. 28, Issue 3Apr 2025

Some classes of permutation polynomials of the form x(xs1(q+1) + bxs2(q+1)+a) over Fq2

Shalini Gupta, Manpreet Singh, Sagar Vinayak

Published Online: 12 Apr 2025DOI: 10.47974/JDMSC-2192

In this paper: Permutation polynomials hold significant relevance in the practical applications of finite fields. Presently, they constitute a pivotal focus in contemporary research endeavors. This paper undertakes...

AbstractReferencesFull Text PDF (418 KB)Views: 338Downloads: 75Citations: 0
Open Access Research Article·pp. 1073–1085·Vol. 27, Issue 3Apr 2024

On permutation and complete permutation binomials and trinomials from linearized polynomials over finite fields

Manpreet Singh, Shalini Gupta, P. L. Sharma

Published Online: 01 May 2024DOI: 10.47974/JDMSC-1836

In this paper: In recent years, researchers have shown considerable interest in linearized polynomials and permutation polynomials over finite fields primarily because of their wide-ranging applications in fields su...

AbstractReferencesFull Text PDF (247 KB)Views: 383Downloads: 74Citations: 1