199 citations
- Sofia University "St. Kliment Ohridski"BG36 papers
- Bulgarian Academy of SciencesBG13 papers
- Heidelberg UniversityDE11 papers
- Institute of Mathematics and InformaticsBG9 papers
- Nanyang Technological UniversitySG5 papers
- University of Chemical Technology and MetallurgyBG5 papers
- University of TübingenDE4 papers
- Hellenic Naval AcademyGR3 papers
- Institute of Astronomy and National Astronomical ObservatoryBG3 papers
- Institute of ElectronicsBG3 papers
- Ss. Cyril and Methodius University in SkopjeMK3 papers
- University of PisaIT3 papers
4 papers · 1 filter
Optimization of Quadratic Sieve Algorithm Implementation for Large Integer Factorization
Zihan Guan, Xiaodong Zhuang, Nikos E. Mastorakis
The quadratic sieve method is a core tool in number theory. In this paper, we present two optimization methods for the Quadratic Sieve algorithm. In the sieving process, the origin…
Methods to Find Integer Points on the Elliptic Curve of Factorizable Polynomial Equation
Xiaodong Zhuang, Nikos E. Mastorakis
As a valuable theoretical and application problem, the integer points on two types of elliptic curve y^2=(x-a)(x-b)(x-c) and y^2 = (x-a)(x^2+ax+b) are studied. By using elementary…
The quantum coherence as a phase property of the wave function
Ivan Georgiev Koprinkov
The quantum coherence as a phase property of the most fundamental quantum mechanical entity, the wave function, is explained for the first time. Phase-sensitive nonadiabatic dresse…
Constraining the inflaton potential with gravitational waves from oscillons
Kaloian D. Lozanov, Misao Sasaki, Jan Tränkle
Under certain conditions, the oscillating inflaton condensate filling the Universe after inflation can fragment and form so-called oscillons. These long-lived soliton-like field co…