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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
이향숙박철민
SCOPUS Author ID
이향숙scopus
Issue Date
2009
Journal Title
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN
0302-9743JCR Link
Citation
vol. 5671 LNCS, pp. 66 - 77
Indexed
SCOPUS scopus
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
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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