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ICISC
2004
108views Cryptology» more  ICISC 2004»
15 years 3 months ago
Generating Prime Order Elliptic Curves: Difficulties and Efficiency Considerations
We consider the generation of prime order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...
Elisavet Konstantinou, Aristides Kontogeorgis, Yan...
TCS
2008
15 years 2 months ago
Nondeterministic polynomial time factoring in the tile assembly model
Formalized study of self-assembly has led to the definition of the tile assembly model, Previously I presented ways to compute arithmetic functions, such as addition and multiplic...
Yuriy Brun
STACS
2009
Springer
15 years 9 months ago
Deciding Unambiguity and Sequentiality of Polynomially Ambiguous Min-Plus Automata
Abstract. This paper solves the unambiguity and the sequentiality problem for polynomially ambiguous min-plus automata. This result is proved through a decidable algebraic characte...
Daniel Kirsten, Sylvain Lombardy
ISSAC
2007
Springer
132views Mathematics» more  ISSAC 2007»
15 years 8 months ago
Structured matrix methods for polynomial root-finding
In this paper we discuss the use of structured matrix methods for the numerical approximation of the zeros of a univariate polynomial. In particular, it is shown that root-findin...
Luca Gemignani
125
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FOCS
2003
IEEE
15 years 7 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis