A General Approach to Construction and Determination of the Linear Complexity of Sequences Based on Cosets

  • Ayça Çeşmelioğlu
  • Wilfried Meidl
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6338)


We give a general approach to N-periodic sequences over a finite field \(\mathbb F_q\) constructed via a subgroup D of the group of invertible elements modulo N. Well known examples are Legendre sequences or the two-prime generator. For some generalizations of sequences considered in the literature and for some new examples of sequence constructions we determine the linear complexity.


Factor Group Prime Power Linear Complexity Invertible Element Sequence Construction 
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© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Ayça Çeşmelioğlu
    • 1
  • Wilfried Meidl
    • 1
  1. 1.Faculty of Engineering and Natural SciencesSabancı UniversityTuzlaTurkey

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