Twisted Edwards curves

D.J. Bernstein, P. Birkner, M. Joye, T. Lange, C.P. Peters

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

239 Citaten (Scopus)
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Samenvatting

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.
Originele taal-2Engels
TitelProgress in Cryptology - Africacrypt 2008 (First International Conference on Cryptology in Africa, Casablanca, Morocco, June 11-14, 2008, Proceedings)
RedacteurenS. Vaudenay
Plaats van productieBerlin
UitgeverijSpringer
Pagina's389-405
ISBN van geprinte versie978-3-540-68159-5
DOI's
StatusGepubliceerd - 2008

Publicatie series

NaamLecture Notes in Computer Science
Volume5023
ISSN van geprinte versie0302-9743

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