M序列反馈函数多项式表示的快速构造方法  

Method of fast construction of M-sequence feedback functions with polynomial representation

作　　者：关杰[1] 周琮伟 GUAN Jie;ZHOU Congwei(Department of Three,PLA Information Engineering University,Zhengzhou 450001,China)

机构地区：[1]解放军信息工程大学三院,河南郑州450001

出　　处：《通信学报》2018年第4期84-90,共7页Journal on Communications

基　　金：国家自然科学基金资助项目(No.61572516;No.61272041;No.61272488)~~

摘　　要：M序列反馈函数的构造一直是序列密码理论的研究热点。基于由m序列构造M序列反馈函数的结构特性,结合函数变换和函数派生的方式得到一类M序列反馈函数的快速构造方法,并给出了该类M序列反馈函数的多项式表示、计数以及重量性质。The construction of M-sequence feedback functions has always been a hotspot in the theory of stream cipher.Based on the structural properties of the M-sequence feedback function constructed by the m-sequence,the method of fast construction of a class M-sequence feedback functions was proposed by combining the function transformation and function derivative.Meanwhile,polynomial representation,amount and weight property of the class M-sequence feedback functions were considered.

关 键 词：M序列反馈函数 多项式表示 函数变换 函数派生 

分 类 号：TN918.2[电子电信—通信与信息系统]