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Counting the number of points on elliptic curves over finite fields: Strategies and performances

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Abstract

Abstract. Cryptographic schemes using elliptic curves over finite fields require the computation of the cardinality of the curves. Dramatic progress have been achieved recently in that field by various authors. The aim of this article is to highlight part of these improvements and to describe an efficient, implementation of them in the particular case of the fields.

Original languageEnglish
Title of host publicationAdvances in Cryptology — EUROCRYPT 1995 - International Conference on the Theory and Application of Cryptographic Techniques, Proceedings
EditorsJean-Jacques Quisquater, Louis C. Guillou
PublisherSpringer Verlag
Pages79-94
Number of pages16
ISBN (Print)3540594094, 9783540594093
DOIs
Publication statusPublished - 1 Jan 1995
EventInternational Conference on theTheory and Applications of Cryptographic Techniques, EUROCRYPT 1995 - Saint-Malo, France
Duration: 21 May 199525 May 1995

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume921
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceInternational Conference on theTheory and Applications of Cryptographic Techniques, EUROCRYPT 1995
Country/TerritoryFrance
CitySaint-Malo
Period21/05/9525/05/95

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