公开(公告)号：US20020044649A1

公开(公告)日：2002-04-18

申请号：US09885959

申请日：2001-06-22

Applicant: CERTICOM CORP.

Inventor： Robert Gallant ,  Robert Lambert ,  Scott A. Vanstone

IPC: H04L009/30 ,  G06F007/49

CPC classification number: G06F7/725

Abstract: This invention provides a method for accelerating multiplication of an elliptic curve point Q(x,y) by a scalar k, the method comprising the steps of selecting an elliptic curve over a finite field Fq where q is a prime power such that there exists an endomorphism null, where null(Q)nullnull.Q for all points Q(x,y) on the elliptic curve: and using smaller representations ki of the scalar k in combination with the mapping null to compute the scalar multiple of the elliptic curve point Q.

Abstract translation: 本发明提供了一种用于加速椭圆曲线点Q（x，y）乘以标量k的方法，所述方法包括以下步骤：在有限域Fq上选择椭圆曲线，其中q是素数，使得存在 对于椭圆曲线上的所有点Q（x，y），其中＆PSgr;（Q）= lambd.Q;并且使用标量k的较小表示ki与映射＆PSgr的组合; 以计算椭圆曲线点Q的标量倍数。