3 citations · 7 across the 14 of their papers we have counts for
16 papers
Primitive central idempotents of a finite group over a field
Satyam Shukla, Jagmohan Tanti
We give a method to compute the primitive central idempotents of a semi-simple finite group algebra associated with an irreducible character such that for every , eithe…
On the role of the Fibonacci matrix as key in modified ECC
Munesh Kumari, Jagmohan Tanti
In this paper, we have proposed a modified cryptographic scheme based on the application of recursive matrices as key in ECC and ElGamal. For encryption, we consider mapping analog…
On some new families of k-Mersenne and generalized k-Gaussian Mersenne numbers and their polynomials
Munesh Kumari, Jagmohan Tanti, Kalika Prasad
In this paper, we define new generalized k-Mersenne numbers and give a formula of generalized Mersenne polynomials and further we study their properties. Moreover, we define Gaussi…
Invariant bilinear forms under the rigid motions of a regular polygon
Dilchand Mahto, Jagmohan Tanti
In this paper, for n a positve integer, we compute the number of n degree representations for a dihedral group G of order 2m, m \geq 3 and the dimensions of the corresponding space…
Invariant bilinear forms under the operator group of order p^3 with odd prime p
Dilchand Mahto, Jagmohan Tanti
In this paper we compute the number of n degree representations of a group of order p^3 for p an odd prime and the dimensions of corresponding spaces of invariant bilinear forms ov…
A public key cryptography using multinacci block matrices
Munesh Kumari, Jagmohan Tanti
In this paper, we have proposed a public key cryptography using recursive block matrices involving generalized Fibonacci numbers over a finite field Fp. For this, we define multina…
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…
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…
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…
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…
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…
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]…
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…
Cyoclotomic Numbers Of Order 2l^2 With Prime L
Md. Helal Ahmed, Jagmohan Tanti, Azizul Hoque
The problem of determining cyclotomic numbers in terms of the solutions of certain Diophantine systems has been treated by many authors since the age of Gauss. In this paper we obt…
Jacobi sums of order
Md. Helal Ahmed, Jagmohan Tanti
The aim of this paper is to deal with congruences for Jacobi sums of order over a finite field , , where and…
Euler's Criterion of prime order in PID case
Jagmohan Tanti
In this paper we establish the Eulers criterion of order l (a prime) when the ring of integers in the cyclotomic extension of Q of order l is a PID. Conditions are obtained in term…