2 citations · 7 across the 6 of their papers we have counts for
7 papers
The sequence of higher order Mersenne numbers and associated binomial transforms
Kalika Prasad, Munesh Kumari, Rabiranjan Mohanta +1
In this article, we introduce and study a new integer sequence referred to as the higher order Mersenne sequence. The proposed sequence is analogous to the higher order Fibonacci n…
On -Mersenne and k-Mersenne-Lucas Octonions
Munesh Kumari, Kalika Prasad, Hrishikesh Mahato
This paper aims to introduce the -Mersenne and -Mersenne-Lucas octonions. We give the closed form formulae for these octonions and obtain some well-known identities like Cass…
A novel public key cryptography based on generalized Lucas matrices
Kalika Prasad, Hrishikesh Mahato, Munesh Kumari
In this article, we have proposed a generalized Lucas matrix (recursive matrix of higher order) having relation with generalized Fibonacci sequences and established many special pr…
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…
A review on mathematical strength and analysis of Enigma
Kalika Prasad, Munesh Kumari
In this review article, we discussed the Mathematics and mechanics behind the Enigma machine with an analysis of security strength. The German army used the Enigma machine during t…
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…