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A note on the x-coordinate of points on an elliptic curve in characteristic two

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)261 - 263
Number of pages2
JournalInformation Processing Letters
Volume80 (?)
DatePublished - Oct 2001

Abstract

We consider how a linear condition on the bits representing an $x$-coordinate of a point on an elliptic curve over a field of characteristic two can lead to problems bot h in elliptic curve based Diffie-Hellman key agreement and the method of distinguished points for solving the elliptic curve discrete logarithm problem. Easy solutions are proposed which solve the problems in all cases.

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