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CRYPTO
2011
Springer
179views Cryptology» more  CRYPTO 2011»
12 years 4 months ago
Smaller Decoding Exponents: Ball-Collision Decoding
Very few public-key cryptosystems are known that can encrypt and decrypt in time b2+o(1) with conjectured security level 2b against conventional computers and quantum computers. Th...
Daniel J. Bernstein, Tanja Lange, Christiane Peter...
SIAMJO
2008
117views more  SIAMJO 2008»
13 years 4 months ago
Two Algorithms for the Minimum Enclosing Ball Problem
Given A := {a1, . . . , am} Rn and > 0, we propose and analyze two algorithms for the problem of computing a (1 + )-approximation to the radius of the minimum enclosing ball o...
E. Alper Yildirim
SODA
2003
ACM
126views Algorithms» more  SODA 2003»
13 years 5 months ago
Smaller core-sets for balls
We prove the existence of small core-sets for solving approximate k-center clustering and related problems. The size of these core-sets is considerably smaller than the previously...
Mihai Badoiu, Kenneth L. Clarkson
ECCC
2011
207views ECommerce» more  ECCC 2011»
12 years 11 months ago
Balls and Bins: Smaller Hash Families and Faster Evaluation
A fundamental fact in the analysis of randomized algorithm is that when n balls are hashed into n bins independently and uniformly at random, with high probability each bin contai...
L. Elisa Celis, Omer Reingold, Gil Segev, Udi Wied...
COMPGEOM
2010
ACM
13 years 9 months ago
On the complexity of sets of free lines and line segments among balls in three dimensions
We present two new fundamental lower bounds on the worst-case combinatorial complexity of sets of free lines and sets of maximal free line segments in the presence of balls in thr...
Marc Glisse, Sylvain Lazard