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» Algorithms for trigonometric polynomials
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STOC
1996
ACM
97views Algorithms» more  STOC 1996»
15 years 10 months ago
Deterministic Restrictions in Circuit Complexity
We study the complexity of computing Boolean functions using AND, OR and NOT gates. We show that a circuit of depth d with S gates can be made to output a constant by setting O(S1...
Shiva Chaudhuri, Jaikumar Radhakrishnan
COCO
1991
Springer
173views Algorithms» more  COCO 1991»
15 years 10 months ago
On the Random-Self-Reducibility of Complete Sets
Abstract. In this paper, we generalize the previous formal de nitions of random-self-reducibility. We show that, even under our very general de nition, sets that are complete for a...
Joan Feigenbaum, Lance Fortnow
AAECC
2007
Springer
88views Algorithms» more  AAECC 2007»
15 years 6 months ago
Hyperelliptic curves with reduced automorphism group A5
We study genus g hyperelliptic curves with reduced automorphism group A5 and give equations y2 = f(x) for such curves in both cases where f(x) is a decomposable polynomial in x2 or...
David Sevilla, Tanush Shaska
DCG
2008
69views more  DCG 2008»
15 years 6 months ago
On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities
Let S Rk+m be a compact semi-algebraic set defined by P1 0, . . . , P 0, where Pi R[X1, . . . , Xk, Y1, . . . , Ym], and deg(Pi) 2, 1 i . Let denote the standard projection f...
Saugata Basu, Thierry Zell
ECCC
2007
185views more  ECCC 2007»
15 years 6 months ago
Trapdoors for Hard Lattices and New Cryptographic Constructions
We show how to construct a variety of “trapdoor” cryptographic tools assuming the worst-case hardness of standard lattice problems (such as approximating the length of the sho...
Craig Gentry, Chris Peikert, Vinod Vaikuntanathan