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Computation of Complex Primes Using Elliptic Curves: Application for Cryptosystem Design
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International Journal of Communications, Network and System Sciences·Volume 05 (2011)·Pages 1–6·Published 31 December 2011·DOI10.4236/ijcns.2012.51001
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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.
KeywordsCommunication SecurityGauss FormulaComplex PrimesPoints CountingModular Elliptic CurveAppletsDual Elliptic Curves
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