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자연과학대학
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Journal papers
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Tate pairing implementation for hyperelliptic curves y2 = xp - x + d
Title
Tate pairing implementation for hyperelliptic curves y2 = xp - x + d
Authors
Duursma I.
;
Lee H.-S.
Ewha Authors
이향숙
SCOPUS Author ID
이향숙
Issue Date
2003
Journal Title
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN
0302-9743
Citation
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) vol. 2894, pp. 111 - 123
Indexed
SCOPUS
Document Type
Article
Abstract
The Weil and Tate pairings have been used recently to build new schemes in cryptography. It is known that the Weil pairing takes longer than twice the running time of the Tate pairing. Hence it is necessary to develop more efficient implementations of the Tate pairing for the practical application of pairing based cryptosystems. In 2002, Barreto et al. and Galbraith et al. provided new algorithms for the fast computation of the Tate pairing in characteristic three. In this paper, we give a closed formula for the Tate pairing on the hyperelliptic curve y2 = xp - x + d in characteristic p. This result improves the implementations in [BKLS02], [GHS02] for the special case p = 3. © International Association for Cryptologic Research 2003.
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