Fast Scalar Multiplication on Two Family of Supersingular Elliptic Curve
Xiao Guo-zhen · Jisuanji gongcheng · 2006
Fast scalar multiplication on two family of supersingular elliptic curves in characteristic 2 and 3 is discussed.Provable secure cryptographic scheme can be obtained on these curves.With the complex multiplication property of these curves,a fast algorithm without precomputation is derived from Frobenius endomorphism and another fast endomorphism,which is 4 times and 3 times faster than IEEE1363 standard method.