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» A Note on Integer Factorization Using Lattices
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PKC
2010
Springer
126views Cryptology» more  PKC 2010»
13 years 9 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
13 years 11 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»
12 years 10 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»
13 years 7 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»
13 years 7 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