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CORR
2010
Springer
192views Education» more  CORR 2010»
14 years 7 months ago
Constructing elliptic curve isogenies in quantum subexponential time
Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny between them, but finding such an isog...
Andrew M. Childs, David Jao, Vladimir Soukharev
WADS
2007
Springer
140views Algorithms» more  WADS 2007»
15 years 4 months ago
A Stab at Approximating Minimum Subadditive Join
Let (L, ∗) be a semilattice, and let c : L → [0, ∞) be monotone and increasing on L. We state the Minimum Join problem as: given size n sub-collection X of L and integer k w...
Staal A. Vinterbo
CRYPTO
2009
Springer
154views Cryptology» more  CRYPTO 2009»
15 years 4 months ago
On Bounded Distance Decoding, Unique Shortest Vectors, and the Minimum Distance Problem
We prove the equivalence, up to a small polynomial approximation factor n/ log n, of the lattice problems uSVP (unique Shortest Vector Problem), BDD (Bounded Distance Decoding) and...
Vadim Lyubashevsky, Daniele Micciancio
TCBB
2010
166views more  TCBB 2010»
14 years 8 months ago
Approximate Maximum Parsimony and Ancestral Maximum Likelihood
— We explore the maximum parsimony (MP) and ancestral maximum likelihood (AML) criteria in phylogenetic tree reconstruction. Both problems are NP hard, so we seek approximate sol...
Noga Alon, Benny Chor, Fabio Pardi, Anat Rapoport
SIAMCOMP
2011
14 years 24 days ago
Inapproximability Results for Maximum Edge Biclique, Minimum Linear Arrangement, and Sparsest Cut
We consider the Minimum Linear Arrangement problem and the (Uniform) Sparsest Cut problem. So far, these two notorious NP-hard graph problems have resisted all attempts to prove in...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...