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环Z/(P^d)上序列的迹表示及前馈序列空间结构分析 被引量:1

THE TRACE-REPRESENTION OF SEQUENCES AND THE SPACE OF NONLINEAR FILTERED SEQUENCES OVER Z/(p^d)
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摘要 本文利用p-adic数域理论,给出了剩余类环Z/(pd)上线性递归序列的迹表示.并通过应用迹表示,刻划了前馈序列空间G(f(x))m的结构. In this paper, we give the trace-representation of linear recurring sequencesover the ring Z/(pd) by using the theory of p-adic number field. And the space G(f(x))mof nonlinear filtered sequencs is described by applying the trace-representation.
出处 《应用数学学报》 CSCD 北大核心 1997年第1期128-136,共9页 Acta Mathematicae Applicatae Sinica
基金 中国科学院研究生院信息安全国家重点实验室资助
关键词 线性递归序列 迹表示 前馈序列空间 linear recurring sequences, trace-representation, filtered sequencs
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参考文献3

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同被引文献12

  • 1祝跃飞.Galois环上的本原多项式的一个判别准则[J].数学学报(中文版),1996,39(6):783-788. 被引量:4
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  • 5Kumar P V, Helleseth T, Calderbank A R, Hammons R. Large Families of Quaternary Sequences with Low Correlation. IEEE Trans. of Information Theory, 1996, 42(3): 579-592.
  • 6Udaya P, Siddiqi M. U, Optimal Biphase Sequences with Large Linear Complexities Derived form ML-Sequences over Z4. IEEE Trans. of Information Theory, 1996,42(1): 206-216.
  • 7Dai Z D. Binary Sequences Derived form ML-sequences over Rings I: Periods and Minimal Polynomials. J. of Cryptology, 1992, 5: 193-207.
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