Word-Oriented Transformation Shift Registers and Their Linear Complexity

  • Sartaj Ul Hasan
  • Daniel Panario
  • Qiang Wang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7280)


We discuss the problem of counting the number of primitive transformation shift registers and its equivalent formulation in terms of Singer cycles in a corresponding general linear group. We also introduce the notion of word-oriented nonlinearly filtered primitive transformation shift registers based on a Langford arrangement and study their linear complexity.


Linear feedback shift register Singer cycle transformation shift register linear complexity Langford arrangement nonlinearly filtered primitive transformation shift register 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Sartaj Ul Hasan
    • 1
  • Daniel Panario
    • 1
  • Qiang Wang
    • 1
  1. 1.School of Mathematics and StatisticsCarleton UniversityOttawaCanada

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