Computation of Jacobi sums of orders $${\varvec{l}}^\mathbf{2}$$ l 2 and $$\mathbf{2}{\varvec{l}}^\mathbf{2}$$ 2 l 2 with odd prime l

Md. Helal Ahmed (), Jagmohan Tanti () and Sumant Pushp ()
Additional contact information
Md. Helal Ahmed: Hailakandi Polytechnic
Jagmohan Tanti: Babasaheb Bhimrao Ambedkar University
Sumant Pushp: Central University of Jharkhand

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 2, 330-343

Abstract: Abstract In this paper, we present the fast computational algorithms for the Jacobi sums of orders $$l^2$$ l 2 and $$2l^{2}$$ 2 l 2 with odd prime l by formulating them in terms of the minimum number of cyclotomic numbers of the corresponding orders. We also implement two additional algorithms to validate these formulae, which are also useful for the demonstration of the minimality of cyclotomic numbers required.

Keywords: Character; Cyclotomic numbers; Jacobi sums; Finite fields; Cyclotomic fields; 11T24; 94A60; 11T22 (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-022-00256-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:54:y:2023:i:2:d:10.1007_s13226-022-00256-3

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-022-00256-3

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().