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» Polynomial Interpolation of the Discrete Logarithm
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DCC
2002
IEEE
14 years 4 months ago
Polynomial Interpolation of the Discrete Logarithm
Recently, Coppersmith and Shparlinski proved several results on the interpolation of the discrete logarithm in the finite prime field Fp by polynomials modulo p and modulo p -1, re...
Arne Winterhof
WCC
2005
Springer
117views Cryptology» more  WCC 2005»
13 years 10 months ago
Interpolation of Functions Related to the Integer Factoring Problem
The security of the RSA public key cryptosystem depends on the intractability of the integer factoring problem. This paper shall give some theoretical support to the assumption of ...
Clemens Adelmann, Arne Winterhof
CORR
2007
Springer
105views Education» more  CORR 2007»
13 years 4 months ago
Finding low-weight polynomial multiples using discrete logarithm
— Finding low-weight multiples of a binary polynomial is a difficult problem arising in the context of stream ciphers cryptanalysis. The best algorithms to solve this problem ar...
Frédéric Didier, Yann Laigle-Chapuy
MOC
1998
131views more  MOC 1998»
13 years 4 months ago
An algorithm for evaluation of discrete logarithms in some nonprime finite fields
In this paper we propose an algorithm for evaluation of logarithms in the finite fields Fpn , where the number pn − 1 has a small primitive factor r. The heuristic estimate of ...
Igor A. Semaev
ISAAC
2004
Springer
142views Algorithms» more  ISAAC 2004»
13 years 10 months ago
On Partial Lifting and the Elliptic Curve Discrete Logarithm Problem
It has been suggested that a major obstacle in finding an index calculus attack on the elliptic curve discrete logarithm problem lies in the difficulty of lifting points from elli...
Qi Cheng, Ming-Deh A. Huang