AN RSA CRYPTOSYSTEM BASED ON NEW SEQUENCES FROM THE GENERALIZED JACOBSTHAL NUMBERS AND GENERALIZED PELL NUMBERS

In this paper, we define two new sequences using the generalized Jacobsthal numbers and generalized Pell (p, i)-numbers.First, sequences are obtained from the characteristic polynomials of these numbers and then sequences are derived from the Hadamard-type product of these polynomials.The determinants and combinatorial and exponential representations of these new sequences are given.As an application, they are used in an RSA cryptosystem.