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Function Field Sieve in Characteristic Three

Granger, Robert, Holt, A. J., Page, D., Smart, N. P. and Vercauteren, F. (2004) Function Field Sieve in Characteristic Three In: The 6th International Algorithmic Number Theory Symposium (ANTS-VI), 13-18 Jun 2004, Burlington, VT, USA.

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Abstract

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 encryption systems using supersingular elliptic curves, we pay special attention to the case where n is composite. This allows us to represent the function field over different base fields. Practical experiments appear to show that a function field over F3 gives the best results.

Item Type: Conference or Workshop Item (Conference Paper)
Divisions : Faculty of Engineering and Physical Sciences > Computing Science
Authors :
NameEmailORCID
Granger, Robertr.granger@surrey.ac.uk
Holt, A. J.
Page, D.
Smart, N. P.
Vercauteren, F.
Date : 13 June 2004
DOI : 10.1007/978-3-540-24847-7_16
Copyright Disclaimer : © Springer-Verlag Berlin Heidelberg 2004
Uncontrolled Keywords : Elliptic Curve; Elliptic Curf; Discrete Logarithm; Discrete Logarithm Problem; Identity Base Encryption
Depositing User : Clive Harris
Date Deposited : 08 Feb 2019 14:20
Last Modified : 08 Feb 2019 14:20
URI: http://epubs.surrey.ac.uk/id/eprint/850415

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