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)


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.


Binary Sequence Linear Complexity Minimal Polynomial Hardware Complexity Linear Feedback Shift Register 
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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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