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» A Note on Integer Factorization Using Lattices
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PKC
2010
Springer
126views Cryptology» more  PKC 2010»
15 years 1 months ago
Implicit Factoring with Shared Most Significant and Middle Bits
We study the problem of integer factoring given implicit information of a special kind. The problem is as follows: let N1 = p1q1 and N2 = p2q2 be two RSA moduli of same bit-size, w...
Jean-Charles Faugère, Raphaël Marinier...
DNA
2006
Springer
15 years 3 months ago
Design and Simulation of Self-repairing DNA Lattices
Self-repair is essential to all living systems, providing the ability to remain functional in spite of gradual damage. In the context of self-assembly of self-repairing synthetic b...
Urmi Majumder, Sudheer Sahu, Thomas H. LaBean, Joh...
PKC
2011
Springer
219views Cryptology» more  PKC 2011»
14 years 2 months 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
TOC
2008
94views more  TOC 2008»
14 years 11 months ago
Optimal lower bounds for the Korkine-Zolotareff parameters of a lattice and for Schnorr's algorithm for the shortest vector prob
Abstract: Schnorr's algorithm for finding an approximation for the shortest nonzero vector in an n-dimensional lattice depends on a parameter k. He proved that for a fixed k ...
Miklós Ajtai
ECCC
2007
123views more  ECCC 2007»
14 years 11 months ago
Lossy Trapdoor Functions and Their Applications
We propose a general cryptographic primitive called lossy trapdoor functions (lossy TDFs), and use it to develop new approaches for constructing several important cryptographic to...
Chris Peikert, Brent Waters