摘要
构造具有良好性质的伪随机序列一直是密码学研究的热点问题之一。基于有限域上的椭圆曲线构造了一类二元伪随机序列,并利用椭圆曲线上的指数和计算了该类序列的一致分布测度和k阶相关测度。结果表明该类序列具有较小的一致分布测度和k阶相关测度。
It is one of the hot-spots in cryptography to construct pseudorandom sequences with good properties.This paper presents a family of pseudorandom binary sequences constructed from elliptic curves over finite fields.With the help of exponential sums on elliptic curves,the well-distribution measure and correlation measure of order k are computed.The results show that both of them are small.
出处
《信息工程大学学报》
2011年第5期521-525,共5页
Journal of Information Engineering University
基金
国家自然科学基金资助项目(61003291)
国家973计划资助项目(2007CB807902)
全国优秀博士学位论文作者专项基金(FANEDD-2007B74)
关键词
伪随机序列
椭圆曲线
指数和
一致分布测度
k阶相关测度
pseudorandom sequence
elliptic curve
exponential sums
well-distribution measure
correlation measure of order k