11 search results - page 1 / 3 » Deterministically Factoring Sparse Polynomials into Multilin... |
ECCC
2011
12 years 11 months ago
2011
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
JOC
2007
13 years 4 months ago
2007
Abstract. We address one of the most fundamental problems concerning the RSA cryptosystem: does the knowledge of the RSA public and secret key-pair (e, d) yield the factorization o...
JAT
2006
13 years 4 months ago
2006
Abstract. Recently M. Dritschel proved that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of polynomials. We first give another pro...
ICALP
2010
Springer
13 years 9 months ago
2010
Springer
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...
CORR
2008
Springer
13 years 4 months ago
2008
Springer
We study the problem of factoring univariate polynomials over finite fields. Under the assumption of the Extended Riemann Hypothesis (ERH), Gao [Gao01] designed a polynomial time ...