摘要
通过对有限域上遍历矩阵性质的分析,给出了有限域上遍历矩阵的计数定理,并在此基础上给出了遍历矩阵与不可约多项式的相关结果及有限域上遍历矩阵与线性反馈移位寄存器之间的关系.
At first,the authors gave counting theorem on the basis of analyzing the properties of ergodic matrices.In addition,the related definitions and theorems of ergodic matrices and irreducible polynomials,and the relationship between the linear feedback shift register and ergodic matrix over finite field were also given.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2012年第3期523-526,共4页
Journal of Jilin University:Science Edition
基金
国家重点基础研究发展计划973项目基金(批准号:2009CB320706)
"十一五"国家密码发展基金(批准号:2006L014J00002)
关键词
有限域
遍历矩阵
遍历矩阵的计数
线性反馈移位寄存器
finite field
ergodic matrix
count of the ergodic matrix
linear feedback shift register
