InforLorV4, Main, Exploration, bibRecord, 004287

Twisted Edwards Curves

Identifieur interne : 004287 ( Main/Exploration ); précédent : 004286; suivant : 004288

Twisted Edwards Curves

Auteurs : Daniel J. Bernstein [États-Unis, Tonga] ; Peter Birkner [Pays-Bas] ; Marc Joye [France, Niger] ; Tanja Lange [Pays-Bas] ; Christiane Peters [Pays-Bas]

Source :

Lecture Notes in Computer Science [ 0302-9743 ]

RBID : ISTEX:6067A083FE0544A817E1B7DB2DA5F5B70FA3BFD7

Abstract

Abstract: This paper introduces “twisted Edwards curves,” a generalization of the recently introduced Edwards curves; shows that twisted Edwards curves include more curves over finite fields, and in particular every elliptic curve in Montgomery form; shows how to cover even more curves via isogenies; presents fast explicit formulas for twisted Edwards curves in projective and inverted coordinates; and shows that twisted Edwards curves save time for many curves that were already expressible as Edwards curves.

Url:

https://api.istex.fr/ark:/67375/HCB-3SXXWS25-W/fulltext.pdf

DOI: 10.1007/978-3-540-68164-9_26

Affiliations:

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Le document en format XML

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<author><name sortKey="Lange, Tanja" sort="Lange, Tanja" uniqKey="Lange T" first="Tanja" last="Lange">Tanja Lange</name>
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<front><div type="abstract" xml:lang="en">Abstract: This paper introduces “twisted Edwards curves,” a generalization of the recently introduced Edwards curves; shows that twisted Edwards curves include more curves over finite fields, and in particular every elliptic curve in Montgomery form; shows how to cover even more curves via isogenies; presents fast explicit formulas for twisted Edwards curves in projective and inverted coordinates; and shows that twisted Edwards curves save time for many curves that were already expressible as Edwards curves.</div>
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Twisted Edwards Curves

Twisted Edwards Curves

Source :

Abstract

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