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Algebra and Logic

, Volume 34, Issue 2, pp 87–100 | Cite as

Linear recurring sequences over Galois rings

  • A. S. Kuzmin
  • A. A. Nechaev
Article

Abstract

Linear recurrences of maximal period over a Galois ring and over a residue class ring modulo p are studied. For any such recurrence, the coordinate sequences (in p-adic and some other expansions) are considered as linear recurring sequences over a finite field. Upper and lower bounds for the ranks (linear complexities) of these coordinate sequences are obtained. The results are based on using the properties of Galois rings and the trace-function on such rings.

Keywords

Lower Bound Mathematical Logic Finite Field Linear Complexity Residue Class 
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

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • A. S. Kuzmin
  • A. A. Nechaev

There are no affiliations available

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