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» Dualities in full homomorphisms
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EJC
2008
14 years 9 months ago
On digraph coloring problems and treewidth duality
It is known that every constraint-satisfaction problem (CSP) reduces, and is in fact polynomially equivalent, to a digraph coloring problem. By carefully analyzing the constructio...
Albert Atserias
79
Voted
ORDER
2010
101views more  ORDER 2010»
14 years 7 months ago
Definability in Substructure Orderings, II: Finite Ordered Sets
Let P be the ordered set of isomorphism types of finite ordered sets (posets), where the ordering is by embeddability. We study first-order definability in this ordered set. We ...
Jaroslav Jezek, Ralph McKenzie
84
Voted
CRYPTO
2011
Springer
245views Cryptology» more  CRYPTO 2011»
13 years 9 months ago
Fully Homomorphic Encryption from Ring-LWE and Security for Key Dependent Messages
We present a somewhat homomorphic encryption scheme that is both very simple to describe and analyze, and whose security (quantumly) reduces to the worst-case hardness of problems ...
Zvika Brakerski, Vinod Vaikuntanathan
PKC
2011
Springer
219views Cryptology» more  PKC 2011»
14 years 9 days ago
Linearly Homomorphic Signatures over Binary Fields and New Tools for Lattice-Based Signatures
ded abstract of this work appears in Public Key Cryptography — PKC 2011, ed. R. Gennaro, Springer LNCS 6571 (2011), 1–16. This is the full version. We propose a linearly homom...
Dan Boneh, David Mandell Freeman
89
Voted
EUROCRYPT
2009
Springer
15 years 10 months ago
Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves
Abstract. Efficiently computable homomorphisms allow elliptic curve point multiplication to be accelerated using the Gallant-Lambert-Vanstone (GLV) method. Iijima, Matsuo, Chao and...
Steven D. Galbraith, Xibin Lin, Michael Scott