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ALGORITHMICA
2006
149views more  ALGORITHMICA 2006»
13 years 4 months ago
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 ellip...
Qi Cheng, Ming-Deh A. Huang
ANTS
2004
Springer
121views Algorithms» more  ANTS 2004»
13 years 10 months ago
Function Field Sieve in Characteristic Three
In this paper we investigate the efficiency of the function field sieve to compute discrete logarithms in the finite fields F3n . Motivated by attacks on identity based encrypti...
Robert Granger, Andrew J. Holt, Dan Page, Nigel P....
EUROCRYPT
1999
Springer
13 years 9 months ago
On the Performance of Hyperelliptic Cryptosystems
In this paper we discuss various aspects of cryptosystems based on hyperelliptic curves. In particular we cover the implementation of the group law on such curves and how to genera...
Nigel P. Smart
IJNSEC
2011
78views more  IJNSEC 2011»
12 years 11 months ago
Multi-authority Electronic Voting Scheme Based on Elliptic Curves
In this paper, a new multi authority electronic voting scheme based on elliptic curves is proposed. According to the proposed scheme, each voter casts the vote as a point on the e...
Chinniah Porkodi, Ramalingam Arumuganathan, Krishn...
PKC
2000
Springer
95views Cryptology» more  PKC 2000»
13 years 8 months ago
Selecting Cryptographic Key Sizes
In this article we offer guidelines for the determination of key sizes for symmetric cryptosystems, RSA, and discrete logarithm based cryptosystems both over finite fields and over...
Arjen K. Lenstra, Eric R. Verheul