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» Cryptosystems using Linear Groups
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DCC
2000
IEEE
14 years 9 months ago
Discrete Logarithms: The Past and the Future
The first practical public key cryptosystem to be published, the Diffie-Hellman key exchange algorithm, was based on the assumption that discrete logarithms are hard to compute. T...
Andrew M. Odlyzko
62
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DCC
2001
IEEE
15 years 9 months ago
How to Choose Secret Parameters for RSA-Type Cryptosystems over Elliptic Curves
Recently, and contrary to the common belief, Rivest and Silverman argued that the use of strong primes is unnecessary in the RSA cryptosystem. This paper analyzes how valid this as...
Marc Joye, Jean-Jacques Quisquater, Tsuyoshi Takag...
SETA
2004
Springer
122views Mathematics» more  SETA 2004»
15 years 3 months ago
New LFSR-Based Cryptosystems and the Trace Discrete Log Problem (Trace-DLP)
In order to reduce key sizes and bandwidth, cryptographic systems have been proposed using minimal polynomials to represent finite field elements. These systems are essentially e...
Kenneth J. Giuliani, Guang Gong
CSDA
2006
83views more  CSDA 2006»
14 years 10 months ago
Linear grouping using orthogonal regression
A new method to detect different linear structures in a data set, called Linear Grouping Algorithm (LGA), is proposed. LGA is useful for investigating potential linear patterns in...
Stefan Van Aelst, Xiaogang Wang, Ruben H. Zamar, R...
EUROCRYPT
1999
Springer
15 years 2 months ago
Public-Key Cryptosystems Based on Composite Degree Residuosity Classes
Abstract. This paper investigates a novel computational problem, namely the Composite Residuosity Class Problem, and its applications to public-key cryptography. We propose a new t...
Pascal Paillier