More discriminants with the Brezing-Weng method

G. Bisson, T. Satoh

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

3 Citations (Scopus)

Abstract

The Brezing-Weng method is a general framework to generate families of pairing-friendly elliptic curves. Here, we introduce an improvement which can be used to generate more curves with larger discriminants. Apart from the number of curves this yields, it provides an easy way to avoid endomorphism rings with small class number.
Original languageEnglish
Title of host publicationProgress in Cryptology - INDOCRYPT 2008 (Proceedings 9th International Conference on Cryptology in India, Kharagpur, India, December 14-17, 2008)
EditorsD.R. Chowdury, V. Rijmen, A. Das
Place of PublicationBerlin
PublisherSpringer
Pages389-399
ISBN (Print)978-3-540-89753-8
DOIs
Publication statusPublished - 2008

Publication series

NameLecture Notes in Computer Science
Volume5365
ISSN (Print)0302-9743

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  • Cite this

    Bisson, G., & Satoh, T. (2008). More discriminants with the Brezing-Weng method. In D. R. Chowdury, V. Rijmen, & A. Das (Eds.), Progress in Cryptology - INDOCRYPT 2008 (Proceedings 9th International Conference on Cryptology in India, Kharagpur, India, December 14-17, 2008) (pp. 389-399). (Lecture Notes in Computer Science; Vol. 5365). Springer. https://doi.org/10.1007/978-3-540-89754-5_30