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计算机工程 ›› 2010, Vol. 36 ›› Issue (23): 283-284,287. doi: 10.3969/j.issn.1000-3428.2010.23.095

• 开发研究与设计技术 • 上一篇    下一篇

A5/1算法的概率模型分析

廖翠玲,余昭平   

  1. (解放军信息工程大学电子技术学院,郑州 450004)
  • 出版日期:2010-12-05 发布日期:2010-12-14
  • 作者简介:廖翠玲(1985-),女,硕士研究生,主研方向:密码理论,控制序列分析;余昭平,教授
  • 基金资助:
    现代通信国家重点实验室基金资助项目(9140C1102060702)

Probabilistic Model Analysis of A5/1 Algorithm

LIAO Cuiling,YU Zhaoping   

  1. (Institute of Electronic Technology, PLA Information Engineering University, Zhengzhou 450004, China)
  • Online:2010-12-05 Published:2010-12-14

摘要: 建立A5/1算法的概率模型,分析其中间状态序列的马尔可夫性、遍历性以及严平稳性,并计算A5/1算法的输出序列与相应的移位寄存器的输出序列和钟控后的输出序列之间的符合率。结果表明,各移位寄存器钟控后的输出序列不是独立的随机序列,A5/1算法的输出序列是均匀的独立随机变量序列,可抵御相关攻击。

关键词: A5/1算法, 概率模型, 马尔可夫性, 符合率

Abstract: This paper establishes a probabilistic model of A5/1 algorithm, analyzes Markov property, ergodic property and stationary of the internal state sequence, and computes the rate of coincidence between the output sequence and corresponding shift register output and clockcontrolled output sequences. Result shows that the clockcontrolled sequence is independence, and the output sequence of A5/1 algorithm is uniform and independent random variable sequences, it can resist relevant attack.

Key words: A5/1 algorithm, probabilistic model, Markov property, rate of coincidence

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