J4 ›› 2012, Vol. 50 ›› Issue (03): 523-.

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Characteristics of Ergodic Matrix over Finite Field

QU Pengcheng1, WANG Yuehong2, ZHAO Yongzhe1, YUAN Zhe3, ZHANG Wenrui2   

  1. 1. College of Computer Science and Technology, Jilin University, Changchun 130012, China;2. Jilin Filiale of Jilin Mobile Communication Co., Ltd, Jilin 132200, Jilin Province, China;3. College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China
  • Received:2011-07-13 Online:2012-05-26 Published:2012-05-28
  • Contact: ZHAO Yongzhe E-mail:yongzhe@jlu.edu.cn

Abstract:

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.

Key words: finite field; ergodic matrix; count of the ergodic matrix; linear feedback shift register

CLC Number: 

  • TP309