Computation of Jacobi sums of orders \(l^2\) and \(2l^2\) with odd prime \(l\)
From MaRDI portal
Publication:6107474
DOI10.1007/s13226-022-00256-3zbMath1528.11127arXiv1908.04263OpenAlexW4293249897WikidataQ114220136 ScholiaQ114220136MaRDI QIDQ6107474
Jagmohan Tanti, Sumant Pushp, Mohammad Helal Uddin Ahmed
Publication date: 3 July 2023
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.04263
Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24) Cyclotomic extensions (11R18) Trigonometric and exponential sums (general theory) (11L03) Cyclotomy (11T22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On distinguishing prime numbers from composite numbers
- Sign ambiguities of Jacobi sums
- Complete solution to cyclotomy of order \(2l^2\) with prime \(l\)
- Sums of Gauß, Eisenstein, Jacobi, Jacobsthal, and Brewer
- Sums of Gauss, Jacobi, and Jacobsthal
- New Hadamard matrices of order \(4p^{2}\) obtained from Jacobi sums of order 16
- Complete solution of the cyclotomic problem in $F_q$ for any prime modulus $l, q = p^α, p ≡ 1 (mod l)$
- Jacobi sums and cyclotomic numbers of order l2
- The Cyclotomic Numbers of Order Sixteen
- Jacobi sums and cyclotomic numbers for a finite field
- Lattice basis reduction, Jacobi sums and hyperelliptic cryptosystems
- Cyclotomy, Higher Congruences, and Waring's Problem
- The cyclotomic numbers of order fourteen
- The Cyclotomic Numbers of Order Eighteen with Applications to Difference Sets
- On Jacobi Sums of Certain Composite Orders
- The Jacobi sums of orders thirteen and sixty and related quadratic decompositions
- The Jacobi Sums of Order Twenty-Two
- The cyclotomic numbers of order twenty
- Numbers of solutions of equations in finite fields
This page was built for publication: Computation of Jacobi sums of orders \(l^2\) and \(2l^2\) with odd prime \(l\)