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Frequency/Time Hopping Sequences with Large Linear Complexities

  • Yun-Pyo Hong
  • Hong-Yeop Song
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3969)

Abstract

In this paper, we discuss some methods of constructing frequency/time hopping (FH/TH) sequences over GF(p k ) by taking successive k-tuples of given sequences over GF(p). We are able to characterize those p-ary sequences whose k-tuple versions now over GF(p k ) have the maximum possible linear complexities (LCs). Next, we consider the FH/TH sequence generators composed of a combinatorial function generator and some buffers. We are able to characterize the generators whose output FH/TH sequences over GF(p k ) have the maximum possible LC for the given algebraic normal form.

Keywords

Binary Sequence Linear Complexity Minimal Polynomial Hardware Complexity Linear Feedback Shift Register 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Yun-Pyo Hong
    • 1
    • 2
  • Hong-Yeop Song
    • 1
    • 2
  1. 1.Coding and Information Theory Lab.CITY – Center for Information Technology of Yonsei UniversityKorea
  2. 2.Department of Electrical and Electronic EngineeringYonsei UniversitySeoulKorea

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