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JOC
2007
125views more  JOC 2007»
13 years 5 months ago
Deterministic Polynomial-Time Equivalence of Computing the RSA Secret Key and Factoring
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...
Jean-Sébastien Coron, Alexander May
JSC
2010
155views more  JSC 2010»
13 years 3 months ago
Algorithms for solving linear systems over cyclotomic fields
We consider the problem of solving a linear system Ax = b over a cyclotomic field. What makes cyclotomic fields of special interest is that we can easily find a prime p that sp...
Liang Chen, Michael B. Monagan
ICCAD
2007
IEEE
234views Hardware» more  ICCAD 2007»
13 years 9 months ago
Finding linear building-blocks for RTL synthesis of polynomial datapaths with fixed-size bit-vectors
Abstract: Polynomial computations over fixed-size bitvectors are found in many practical datapath designs. For efficient RTL synthesis, it is important to identify good decompositi...
Sivaram Gopalakrishnan, Priyank Kalla, M. Brandon ...
JUCS
2010
106views more  JUCS 2010»
13 years 3 months ago
A Heuristic Approach to Positive Root Isolation for Multiple Power Sums
: Given a multiple power sum (extending polynomial’s exponents to real numbers), the positive root isolation problem is to find a list of disjoint intervals, satisfying that the...
Ming Xu, Chuandong Mu, Zhenbing Zeng, Zhi-bin Li
DAGSTUHL
2006
13 years 6 months ago
Probabilistically Stable Numerical Sparse Polynomial Interpolation
We consider the problem of sparse interpolation of a multivariate black-box polynomial in floating-point arithmetic. That is, both the inputs and outputs of the black-box polynomia...
Mark Giesbrecht, George Labahn, Wen-shin Lee