We introduce a new approach to multivariate polynomial factorisation which incorporates ideas from polyhedral geometry, and generalises Hensel lifting. Our main contribution is to...
There are several algorithms for factoring in Z[x] which have a proven polynomial complexity bound such as Sch¨onhage of 1984, Belabas/Kl¨uners/van Hoeij/Steel of 2004, and vanH...
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
We address the problem of polynomial time factoring RSA moduli N1 = p1q1 with the help of an oracle. As opposed to other approaches that require an oracle that explicitly outputs b...