The Gallant-Lambert-Vanstone method  (GLV method for short) is a scalar multiplication method for elliptic curve cryptography (ECC). In WAP WTLS, SEC 2, ANSI X9.62 and X9.63, several domain parameters for applications of the GLV method are described. Curves with those parameters have efficiently-computable endomorphisms. Recently the GLV method for hyperelliptic curve (HEC) Jacobians has also been studied. In this paper, we discuss applications of the GLV method to curves with real multiplication (RM). It is the first time to use RM in cryptography. We describe the general algorithm for using such RM, and we show that some genus 2 curves with RM have enough effciency to be used in the GLV method as in the previous CM case.
|ジャーナル||LECTURE NOTES IN COMPUTER SCIENCE|
|出版ステータス||Published - 2005|
|イベント||7th International Conference on Information Security and Cryptology - ICISC 2004 - Seoul, Korea, Republic of|
継続期間: 2004 12月 2 → 2004 12月 3
ASJC Scopus subject areas
- コンピュータ サイエンス（全般）