Recent Topics on Integer Factorization
نویسندگان
چکیده
منابع مشابه
On the WZ Factorization of the Real and Integer Matrices
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...
متن کاملInteger factorization
“The problem of distinguishing prime numbers from composite numbers, and of resolving the latter into their prime factors, is known to be one of the most important and useful in arithmetic,” Gauss wrote in his Disquisitiones Arithmeticae in 1801. “The dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.”...
متن کاملA Note on Integer Factorization Using Lattices
We revisit Schnorr’s lattice-based integer factorization algorithm, now with an effective point of view. We present effective versions of Theorem 2 of [11], as well as new properties of the Prime Number Lattice bases of Schnorr and Adleman.
متن کاملOn the Complexity of Integer Factorization
This note presents a deterministic integer factorization algorithm based on a system of polynomials equations. This technique exploits a new idea in the construction of irreducible polynomials with parametized roots, and recent advances in polynomial lattices reduction methods. The main result establishes a new deterministic time complexity bench mark. 1 Introduction This note presents a determ...
متن کاملA Signcryption Scheme Based on Integer Factorization
Signcryption is a public-key cryptographic primitive introduced by Zheng, which achieves both message confidentiality and nonrepudiatable origin authenticity, at a lower computational and communication overhead cost than the conventional ‘sign-then-encrypt’ approach. We propose a new signcryption scheme which gives a partial solution to an open problem posed by Zheng, namely to find a signcrypt...
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ژورنال
عنوان ژورنال: IEICE ESS Fundamentals Review
سال: 2008
ISSN: 1882-0875
DOI: 10.1587/essfr.1.3_58