北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2001, Vol. 24 ›› Issue (2): 1-4.

• •    下一篇

剩余类环上LFSR序列乘积的线性复杂度

张春起, 杨义先, 蔡吉人   

  1. 北京邮电大学信息工程学院, 北京 100876
  • 收稿日期:2000-12-20 出版日期:2001-03-10
  • 作者简介:张春起(1965—),男,博士生.
  • 基金资助:
    国家重点基础研究发展规划项目(973)资助(G1999035805).国家杰出青年基金.国家自然科学基金资助项目(69772035,69882002)

On the Linear Complexity of Products of LFSR Sequence on Residue Ring Z/(2e)

ZHANG Chun-qi, YANG Yi-xian, CAI Ji-ren   

  1. Information Engineering School,Beijing University of Posts and Telecommunications,Beijing 100876, China
  • Received:2000-12-20 Online:2001-03-10

摘要: 证明了剩余类环上LFSR序列乘积的线性复杂度小于线性复杂度的积.特别地,具有互素本原多项式的极大长序列乘积的线性复杂度等于线性复杂度的乘积.

关键词: 线性复杂度, 极大长序列, 算述结果

Abstract: It is proved that the linear complexity of the production sequence of two LFSR sequences is less than or equal to the production of the linear complexities of the two LFSR sequences.Especially, if these two LFSR sequences are m-sequences, and if their minimal polynomials are mutually prime, then the linear complexity of the production sequence of the two LFSR sequences equals the production of the two linear complexities.

Key words: linear complexity, maximum sequences, Arithmetic result

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