International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Mingqiang Wang

Publications

Year
Venue
Title
2010
EPRINT
Skew-Frobenius map on twisted Edwards curve
In this paper, we consider the Frobenius endomorphism on twisted Edwards curve and give the characteristic polynomial of the map. Applying the Frobenius endomorphism on twisted Edwards curve, we construct a skew-Frobenius map defined on the quadratic twist of an twisted Edwards curve. Our results show that the Frobenius endomorphism on twisted Edwards curve and the skew-Frobenius endomorphism on quadratic twist of an twisted Edwards curve can be exploited to devise fast point multiplication algorithm that do not use any point doubling. As an application, the GLV method can be used for speeding up point multiplication on twisted Edwards curve.

Coauthors

Xiaoyun Wang (1)
Tao Zhan (1)
Yuliang Zheng (1)