A complete set of addition laws for incomplete Edwards curves

D.J. Bernstein, T. Lange

Research output: Contribution to journalArticleAcademicpeer-review

29 Citations (Scopus)
3 Downloads (Pure)

Abstract

Edwards curves were the first curves shown to have a complete addition law. However, the completeness of the addition law depends on the curve parameters and even a complete Edwards curve becomes incomplete over a quadratic field extension. This paper covers arbitrary Edwards curves and gives a set of two addition laws that for any pair of input points P1, P2 produce the sum P1+P2.
Original languageEnglish
Pages (from-to)858-872
JournalJournal of Number Theory
Volume131
Issue number5
DOIs
Publication statusPublished - 2011

Fingerprint

Dive into the research topics of 'A complete set of addition laws for incomplete Edwards curves'. Together they form a unique fingerprint.

Cite this