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» Algorithms for trigonometric polynomials
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STOC
1996
ACM
97views Algorithms» more  STOC 1996»
15 years 8 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 8 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 4 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 4 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
130
Voted
ECCC
2007
185views more  ECCC 2007»
15 years 4 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