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

Computation of Complex Primes Using Elliptic Curves: Application for Cryptosystem Design
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摘要 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. 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.
机构地区 不详
出处 《International Journal of Communications, Network and System Sciences》 2012年第1期1-6,共6页 通讯、网络与系统学国际期刊(英文)
关键词 Communication Security GAUSS Formula COMPLEX PRIMES Points COUNTING Modular ELLIPTIC Curve Applets Dual ELLIPTIC Curves Communication Security Gauss Formula Complex Primes Points Counting Modular Elliptic Curve Applets Dual Elliptic Curves

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