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» Public-Key Cryptosystems from Lattice Reduction Problems
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STOC
2003
ACM
116views Algorithms» more  STOC 2003»
14 years 22 days ago
New lattice based cryptographic constructions
We introduce the use of Fourier analysis on lattices as an integral part of a lattice based construction. The tools we develop provide an elegant description of certain Gaussian d...
Oded Regev
INDOCRYPT
2010
Springer
13 years 5 months ago
Partial Key Exposure Attack on RSA - Improvements for Limited Lattice Dimensions
Abstract. Consider the RSA public key cryptosystem with the parameters N = pq, q < p < 2q, public encryption exponent e and private decryption exponent d. In this paper, cryp...
Santanu Sarkar, Sourav Sengupta, Subhamoy Maitra
PKC
2007
Springer
100views Cryptology» more  PKC 2007»
14 years 1 months ago
Multi-bit Cryptosystems Based on Lattice Problems
Abstract. We propose multi-bit versions of several single-bit cryptosystems based on lattice problems, the error-free version of the Ajtai-Dwork cryptosystem by Goldreich, Goldwass...
Akinori Kawachi, Keisuke Tanaka, Keita Xagawa
IJACT
2008
158views more  IJACT 2008»
13 years 7 months ago
Efficient lattice-based signature scheme
: In Crypto 1997, Goldreich, Goldwasser and Halevi (GGH) proposed a lattice analogue of McEliece public key cryptosystem, in which security is related to the hardness of approximat...
Thomas Plantard, Willy Susilo, Khin Than Win, Qion...
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