## CryptoDB

### Tao Zhan

#### Publications

Year
Venue
Title
2010
EPRINT
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.
2009
EUROCRYPT

#### Coauthors

Wei Wang (1)
Xiaoyun Wang (2)
Mingqiang Wang (1)
Hongbo Yu (1)
Haina Zhang (1)
Yuliang Zheng (1)