2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.NT2026★ 2 cited
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…
math.NT2026
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…