Title
Computing Discrete Logarithms with Quadratic Number Rings
Abstract
At present, there are two competing index calculus variants for computing discrete logarithms in (Z/pZ)* in practice. The purpose of this paper is to summarize the recent practical experience with a generalized implementation covering both a variant of the Number Field Sieve and the Gaussian integer method. By this implementation we set a record with p consisting of 85 decimal digits. With regard to computational results, including the running time, we provide a comparison of the two methods for this value of p.
Year
DOI
Venue
1998
10.1007/BFb0054125
ADVANCES IN CRYPTOLOGY - EUROCRYPT '98
Keywords
Field
DocType
discrete logarithms,number field sieve,index calculus
Gaussian integer,Discrete mathematics,Cryptography,Quadratic equation,Theoretical computer science,Logarithm,Public-key cryptography,General number field sieve,Decimal,Mathematics,Distributed computing
Conference
Volume
ISSN
Citations 
1403
0302-9743
6
PageRank 
References 
Authors
0.90
9
1
Name
Order
Citations
PageRank
Damian Weber19816.23