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CHES
2000
Springer
114views Cryptology» more  CHES 2000»
15 years 10 months ago
Efficient Generation of Prime Numbers
The generation of prime numbers underlies the use of most public-key schemes, essentially as a major primitive needed for the creation of key pairs or as a computation stage appear...
Marc Joye, Pascal Paillier, Serge Vaudenay
FPGA
2000
ACM
128views FPGA» more  FPGA 2000»
15 years 10 months ago
Factoring large numbers with programmable hardware
The fastest known algorithms for factoring large numbers share a core sieving technique. The sieving cores find numbers that are completely factored over a prime base set raised t...
Hea Joung Kim, William H. Mangione-Smith
CSC
2006
15 years 8 months ago
On the Number of Minimal Addition Chains
An addition chain for a natural number n is a sequence 1 = a0 < a1 < . . . < ar = n of numbers such that for each 0 < i r, ai = aj + ak for some 0 k j < i. Thurbe...
Hatem M. Bahig
SODA
2004
ACM
115views Algorithms» more  SODA 2004»
15 years 8 months ago
Minimizing the stabbing number of matchings, trees, and triangulations
The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. We investigate probl...
Sándor P. Fekete, Marco E. Lübbecke, H...
EM
2010
121views Management» more  EM 2010»
15 years 6 months ago
Self-Intersection Numbers of Curves on the Punctured Torus
On the punctured torus the number of essential self-intersections of a homotopy class of closed curves is bounded (sharply) by a quadratic function of its combinatorial length (th...
Moira Chas, Anthony Phillips