Sequences of period 2N–2

  • Authors:
  • Rainer Göttfert

  • Affiliations:
  • Infineon Technologies AG, Neubiberg, Germany

  • Venue:
  • SETA'06 Proceedings of the 4th international conference on Sequences and Their Applications
  • Year:
  • 2006

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Abstract

We derive a formula for the minimal polynomial of the termwise product of binary sequences of least periods 2N–2. The obtained results are important in the analysis of keystream generators based on binary nonlinear N-stage feedback shift registers producing sequences of period 2N–2. Sequences of period 2N–1 are also considered.