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» Faster algorithms for the characteristic polynomial
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JSC
2002
61views more  JSC 2002»
14 years 9 months ago
Subquadratic Computation of Vector Generating Polynomials and Improvement of the Block Wiedemann Algorithm
This paper describes a new algorithm for computing linear generators (vector generating polynomials) for matrix sequences, running in subquadratic time. This algorithm applies in ...
Emmanuel Thomé
PKC
2007
Springer
165views Cryptology» more  PKC 2007»
15 years 3 months ago
Deterministic Polynomial Time Equivalence Between Factoring and Key-Recovery Attack on Takagi's RSA
Abstract. For RSA, May showed a deterministic polynomial time equivalence of computing d to factoring N(= pq). On the other hand, Takagi showed a variant of RSA such that the decry...
Noboru Kunihiro, Kaoru Kurosawa
CCA
2009
Springer
15 years 2 months ago
From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs under Interv
Interval computations estimate the uncertainty of the result of data processing in situations in which we only know the upper bounds ∆ on the measurement errors. In this case, ba...
Vladik Kreinovich
ECCC
1998
117views more  ECCC 1998»
14 years 9 months ago
Determinant: Old Algorithms, New Insights
In this paper we approach the problem of computing the characteristic polynomial of a matrix from the combinatorial viewpoint. We present several combinatorial characterizations of...
Meena Mahajan, V. Vinay
CHES
2005
Springer
83views Cryptology» more  CHES 2005»
15 years 3 months ago
Fast Truncated Multiplication for Cryptographic Applications
The Truncated Multiplication computes a truncated product, a contiguous subsequence of the digits of the product of 2 integers. A few truncated polynomial multiplication algorithms...
Laszlo Hars