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Computation of Complex Primes Using Elliptic Curves: Application for Cryptosystem Design

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

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.

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