基于有限域中的迹函数生成的大族伪随机二元格点  

Large Family of Pseudorandom Binary Lattices by Using the Trace in Finite Fields

作　　者：刘华宁 高樊 LIU Huaning;GAO Fan(School of Mathematics,Northwest University,Xi'an,Shaanxi,710127,P.R.China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《数学进展》2021年第5期689-698,共10页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.12071368);the Science and Technology Program of Shaanxi Province of China(Nos.2019JM-573,2016GY-077)。

摘　　要：自从Hubert等人引入二元格点的伪随机测度以来,人们利用有限域的结构和性质构造了很多的伪随机二元格点.本文基于有限域的迹函数生成了大族n维伪随机二元格点,并研究了伪随机测度、碰撞与雪崩效应.Many pseudorandom binary lattices have been given and studied by using finite fields since Hubert et al.introduced pseudorandom measures for finite pseudorandom binary lattices.In this paper we constructed large family of n-dimensional pseudorandom binary lattices by using the trace in finite fields,and studied the properties:pseudorandom measure,collision and avalanche effect.

关 键 词：二元格点 迹函数 伪随机测度 碰撞 雪崩效应 

分 类 号：O156.4[理学—数学]