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20182026
most citedComputation of Jacobi sums and cyclotomic numbers with reduced complexity

3 citations · 7 across the 14 of their papers we have counts for

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Showing 2019Show all

7 papers · 1 filter

math.GR2019

Space of Invariant bilinear forms under representation of a group of order 8

Dilchand Mahto, Jagmohan Tanti

Let G be a group of order 8 and F an algebraically closed field with char= 2. In this paper we compute the number of n degree representations of G and subsequent dimensions of the…

math.NT2019

Computation of Jacobi sums of order l^2 and 2l^2 with prime l

Md. Helal Ahmed, Jagmohan Tanti, Sumant Pushp

In this paper, we present the fast computational algorithms for the Jacobi sums of orders and with odd prime by formulating them in terms of the minimum number o…

math.NT2019

Jacobi sums and cyclotomic numbers: A survey report

Md. Helal Ahmed, Jagmohan Tanti

The determination of Jacobi sums, their congruences and cyclotomic numbers have been the object of attention for many years and there are large number of interesting results relate…

math.NT2019★ 3 cited

Computation of Jacobi sums and cyclotomic numbers with reduced complexity

Md Helal Ahmed, Jagmohan Tanti

Jacobi sums and cyclotomic numbers are the important objects in number theory. The determination of all the Jacobi sums and cyclotomic numbers of order are merely intricate to…

cs.CR2019

A Public-Key Cryptosystem Using Cyclotomic Matrices

Md. Helal Ahmed, Jagmohan Tanti, Sumant Pushp

Confidentiality and Integrity are two paramount objectives in the evaluation of information and communication technology. In this paper, we propose an arithmetic approach for desig…

math.NT2019

On the Diophantine equations f (x) = g(y)

S. Subburam, J. Tanti

The study of finiteness or infiniteness of integer solutions of a Diophantine equation has been considered as a standard problem in the literature. In this paper, for f(x) in Z[x]…

math.NT2019

Complete Congruences of Jacobi sums of order 2l^2 with prime l

Md Helal Ahmed, Jagmohan Tanti

The congruences for Jacobi sums of some lower orders has been treated by many authors in the literature. In this paper we establish the congruences for Jacobi sums of order 2l^2 wi…