%0 Journal Article
%T Study and realization on secure elliptic curve over optimal extension fields<br>最佳扩域上的安全椭圆曲线的研究与实现
%A ZHANG Ren-ping
%A PENG Chang-gen
%A TIAN You-liang
%A CHEN Yu-ling
%A <br>张仁平
%A 彭长根
%A 田有亮
%A 陈玉玲
%J 计算机应用
%D 2008
%I 
%X Concerning the deficiency that the study on elliptic curve cryptosystem over Optimal Extension Fields (OEF) mainly focuses on the operation about addition, subtraction, multiplication and inverse of field's element, the preparative base point method was presented and a simple algorithm of computing the order on elliptic curve was designed. Making use of the methods and the algorithm, a fast generating algorithm of secure elliptic curve over optimal extension fields was implemented on general PC. Experiments show that the efficient is preferable.
%K finite fields
%K optimal extension fields
%K irreducible polynomial
%K elliptic curve cryptosystem<br>有限域
%K 最佳扩域
%K 既约多项式
%K 椭圆曲线密码体制
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=831E194C147C78FAAFCC50BC7ADD1732&aid=7A6981177204A5B6C928699DA58262BE&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=DF92D298D3FF1E6E&sid=2FA47D7E22372F11&eid=698FD652CB79A2E7&journal_id=1001-9081&journal_name=计算机应用&referenced_num=0&reference_num=12