Algorithms for Integer Factorization Based on Counting Solutions of Various Modular Equations
نویسندگان
چکیده
منابع مشابه
Algorithms for Integer Factorization Based on Counting Solutions of Various Modular Equations
This paper is a logical continuation of my recently-published paper. Security of modern communication based on RSA cryptographic protocols and their analogues is as crypto-immune as integer factorization (iFac) is difficult. In this paper are considered enhanced algorithms for the iFac that are faster than the algorithm proposed in the previous paper. Among these enhanced algorithms is the one ...
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In this paper is demonstrated a method for reduction of integer factorization problem to an analysis of a sequence of modular elliptic equations. As a result, the paper provides a non-deterministic algorithm that computes a factor of a semi-prime integer n=pq, where prime factors p and q are unknown. The proposed algorithm is based on counting points on a sequence of at least four elliptic curv...
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The textit{QIF} (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using textit{WZ} factorization. The WZ factorization can be faster than the textit{LU} factorization because, it performs the simultaneous evaluation of two columns or two rows. Here, we present a method for computing the real and integer textit{WZ} and textit{ZW} factoriz...
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ژورنال
عنوان ژورنال: International Journal of Communications, Network and System Sciences
سال: 2011
ISSN: 1913-3715,1913-3723
DOI: 10.4236/ijcns.2011.411083