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Interleaving Shifted Versions of a PN-Sequence

Author

Listed:
  • Sara Díaz Cardell

    (Centro de Matemática, Computação e Cognição, Santo André 09210-580, SP, Brazil)

  • Amparo Fúster-Sabater

    (Instituto de Tecnologías Físicas y de la Información, C.S.I.C., 28006 Madrid, Spain)

  • Verónica Requena

    (Departamento de Matemáticas, Universidad de Alicante, 03690 Alicante, Spain)

Abstract

The output sequence of the shrinking generator can be considered as an interleaving of determined shifted versions of a single PN -sequence. In this paper, we present a study of the interleaving of a PN-sequence and shifted versions of itself. We analyze some important cryptographic properties as the period and the linear complexity in terms of the shifts. Furthermore, we determine the total number of the interleaving sequences that achieve each possible value of the linear complexity.

Suggested Citation

  • Sara Díaz Cardell & Amparo Fúster-Sabater & Verónica Requena, 2021. "Interleaving Shifted Versions of a PN-Sequence," Mathematics, MDPI, vol. 9(6), pages 1-23, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:687-:d:522382
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