journal6 ›› 2011, Vol. 32 ›› Issue (6): 27-32.

• 计算机 • 上一篇    下一篇

周期为2pn的q元序列m紧错线性复杂度

  

  1. (1.杭州电子科技大学通信工程学院,浙江 杭州 310018;2.安徽工业大学计算机学院,安徽 马鞍山 243002)
  • 出版日期:2011-11-25 发布日期:2012-03-22
  • 作者简介:周建钦(1963-),男,山东巨野人,教授,硕士,主要从事通信、密码学与理论计算机科学研究.
  • 基金资助:

    浙江省自然科学基金资助项目(Y1100318,R1090138);国家自然科学基金委员会与中国工程物理研究院联合基金资助(10776077);上海市信息安全综合管理技术研究重点实验室开放课题(AGK2009007)

m-Tight Error Linear Complexity of Sequences with Period 2pn over GF(q)

  1. (1.College of Telecommunication,Hangzhou Dianzi University,Hangzhou 310018,China;2.College of Computer Science and Technology,Anhui University of Technology,Maanshan 243002,Anhui China)
  • Online:2011-11-25 Published:2012-03-22

摘要:结合k错线性复杂度曲线和最小错误的理论,提出m紧错线性复杂度的概念来研究序列线性复杂度的稳定性.首先优化魏-肖-陈算法的结构,即GF(q)上求周期为2pn的q元序列线性复杂度的快速算法;然后通过采用联合代价的方法,给出一个GF(q)上求周期为2pn的q元序列k错线性复杂度的快速算法;接着给出周期为2pn的q元序列的m紧错线性复杂度快速算法,其中p和q是奇素数,q为模p2的一个本原根.

关键词: 流密码, 序列, 线性复杂度, k错线性复杂度, m紧错线性复杂度

Abstract: Using the theories of the minimum error and the k-error linear complexity profile of sequences,m-tight error linear complexity is presented to study the stability of the linear complexity of sequences.First,the structure of the Wei-Xiao-Chen algorithm for the linear complexity of sequences with period 2pn over GF(q) is optimized,where p and q are odd primes and q is a primitive root (mod p2).Second,the union cost is used,so that an efficient algorithm for computing the k-error linear complexity of a sequence with period 2pn  over GF(q) is derived,where p and q are odd primes and q is a primitive root (mod p2).Finally,an efficient algorithm for computing m-tight error linear complexity of sequences with period 2pn over GF(q) is given,where p and q are odd primes and q is a primitive root (mod p2).

Key words: stream cipher, sequence, linear complexity, k-error linear complexity, m-tight error linear complexity

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