%0 Journal Article
%T On a Family of Pseudorandom Binary Sequences from Elliptic Curve<br>一类椭圆曲线二元序列的伪随机性分析
%A ZHAO Long
%A HAN Wen-bao
%A JI Hui-fang
%A <br>赵龙
%A 韩文报
%A 冀会芳
%J 计算机科学
%D 2011
%I 
%X One family of pseudorandom binary sequences were constructed from elliptic curves over binary finite fields.With the help of exponential sums on elliptic curves, the well-distribution measure and correlation measure of order k were computed, and the low bound of linear complexity was derived by the relation between linear complexity and correlation measure of order k. The results show that these sequences have good randomness and provide strong potential applications in communication systems and cryptography.
%K Pseudorandom sequence elliptic curve
%K Exponential sums
%K Well-distribution measure
%K Correlation measure of order k<br>伪随机序列，椭圆曲线指数和，一致分布测度，k阶相关测度
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=64A12D73428C8B8DBFB978D04DFEB3C1&aid=17DDCED190714E79A68392D50255C927&yid=9377ED8094509821&vid=16D8618C6164A3ED&iid=708DD6B15D2464E8&sid=4F2F18DD6F870C2C&eid=67969BA850333433&journal_id=1002-137X&journal_name=计算机科学&referenced_num=0&reference_num=0