GF(3 m )-ECC Algorithm and Its Software Implementation
Duanmu Qing-feng, Wang Yan-bo, Kaize Zhang, Lei Feng-yu · Jisuanji gongcheng · 2009
This paper researches the arithmetic in GF(3m),the arithmetic on elliptic curve over GF(3m) and Elliptic Curve Cryptography(ECC) protocol.It designs and implements an EC cryptographic algorithm library,tests and analyzes GF(3m)-ECC algorithms.Results show that GF(3m)-ECC algorithms can provide the same performance as ECC algorithms on GF(2m) and GF(p),and can be applied into ECC security protocols design.