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자연과학대학
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Generating Pairing-friendly curves with the cm equation of degree 1
Title
Generating Pairing-friendly curves with the cm equation of degree 1
Authors
Lee H.-S.
;
Park C.-M.
Ewha Authors
이향숙
;
박철민
SCOPUS Author ID
이향숙
Issue Date
2009
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. 5671 LNCS, pp. 66 - 77
Indexed
SCOPUS
Document Type
Conference Paper
Abstract
Refinements of the Brezing-Weng method have provided families of pairing-friendly curves with improved ρ-values by using non-cyclotomic polynomials that define cyclotomic fields. We revisit these methods via a change-of-basis matrix and completely classify a basis for a cyclotomic field to produce a family of pairing-friendly curves with a CM equation of degree 1. Using this classification, we propose a new algorithm to construct Brezing-Weng-like elliptic curves having the CM equation of degree 1, and we present new families of curves with larger discriminants. © 2009 Springer Berlin Heidelberg.
DOI
10.1007/978-3-642-03298-1_5
ISBN
3642032974
9783642032974
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