多值KM1M2生成器的概率模型

数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 32-38.

多值KM1M2生成器的概率模型

1. Department of Basis, PLA University of Foreign Languages2. The PLA Information Engineering University

收稿日期:2007-10-25 出版日期:2011-03-30 发布日期:2023-05-09
作者简介:DU Yi-bin(1981- ), male, native of Kaifeng, Henan, an associate of PLA University of Foreign Languages, M.S.D., engages in the clock controlled generator and its applications.
基金资助:
Supported by the Computer Network and Information Security Foundation of Ministry of Education Laboratory(20040108)；

The Probability Model of the Multi-valued KM1M2 Clock Controlled Generator

1. Department of Basis, PLA University of Foreign Languages2. The PLA Information Engineering University

Received:2007-10-25 Online:2011-03-30 Published:2023-05-09
About author:DU Yi-bin(1981- ), male, native of Kaifeng, Henan, an associate of PLA University of Foreign Languages, M.S.D., engages in the clock controlled generator and its applications.
Supported by:
Supported by the Computer Network and Information Security Foundation of Ministry of Education Laboratory(20040108)；

摘要/Abstract

摘要： This paper constructs the probability model of the multi-valued KM1M2 clock controlled generator, and discusses the probability distributing, homogeneous Markov property, ergodic property, strict placidity, numeral character and the property of large numbers of the random variables with this kind of output sequence. It gets the probability formula of the coincidence of the output sequence with the input sequence, and gives important reference to the design and analysis of the multi-valued key stream clock controlled generator in cryptography.

关键词: KM1M2 clock controlled generator, homogeneous Markov property ergodic
property, strict placidity, coincidence, correlation

Abstract: This paper constructs the probability model of the multi-valued KM1M2 clock controlled generator, and discusses the probability distributing, homogeneous Markov property, ergodic property, strict placidity, numeral character and the property of large numbers of the random variables with this kind of output sequence. It gets the probability formula of the coincidence of the output sequence with the input sequence, and gives important reference to the design and analysis of the multi-valued key stream clock controlled generator in cryptography.

Key words: KM1M2 clock controlled generator, homogeneous Markov property ergodic
property, strict placidity, coincidence, correlation

中图分类号:

O211.5

杜宜宾, 黄晓英, 李正朝, 滕吉红. 多值KM1M2生成器的概率模型[J]. 数学季刊, 2011, 26(1): 32-38.

DU Yi-bin, HUANG Xiao-ying, LI Zheng-chao, TENG Ji-hong. The Probability Model of the Multi-valued KM1M2 Clock Controlled Generator [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 32-38.

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