Author(s): Boris S. Verkhovsky
Journal: Advances in Molecular Imaging
ISSN 2161-6728
Volume: 05;
Issue: 01;
Start page: 1;
Date: 2011;
Original page
Keywords: Communication Security | Gauss Formula | Complex Primes | Points Counting | Modular Elliptic Curve | Applets | Dual Elliptic Curves
ABSTRACT
This paper provides several generalizations of Gauss theorem that counts points on special elliptic curves. It is demonstrated how to implement these generalizations for computation of complex primes, which are applicable in several protocols providing security in communication networks. Numerical examples illustrate the ideas discussed in this paper.
Journal: Advances in Molecular Imaging
ISSN 2161-6728
Volume: 05;
Issue: 01;
Start page: 1;
Date: 2011;
Original page
Keywords: Communication Security | Gauss Formula | Complex Primes | Points Counting | Modular Elliptic Curve | Applets | Dual Elliptic Curves
ABSTRACT
This paper provides several generalizations of Gauss theorem that counts points on special elliptic curves. It is demonstrated how to implement these generalizations for computation of complex primes, which are applicable in several protocols providing security in communication networks. Numerical examples illustrate the ideas discussed in this paper.
