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New Optimal Quaternary Sequences with Period 2 N from Interleaving Tang–Lindner Sequences

Author

Listed:
  • Dazhou Wang

    (Department of Mathematics, Gansu Normal University for Nationalities, Hezuo 747000, China)

  • Xiaoping Shi

    (Department of Mathematics, Gansu Normal University for Nationalities, Hezuo 747000, China
    Department of Mathematics, Nanjing Forestry University, Nanjing 210037, China)

Abstract

In this paper, using the interleaving technique, we present a method for constructing M -ary sequences of length 4 N . We propose a new concept, referred to as the semi-interleaved sequence, based on some of the special cases of our construction. The period of these semi-interleaved sequences is 2 N , and their autocorrelations can be obtained in the same way as those of interleaved sequences. Applying the construction to certain known sequences, we obtain new quaternary sequences having period 2 N where N = 4 f + 1 is prime and f is an odd integer. The nontrivial autocorrelations of the new sequences are 2 and − 2 . From the autocorrelation distributions, we know that the new sequences cannot be obtained by previously known methods.

Suggested Citation

  • Dazhou Wang & Xiaoping Shi, 2025. "New Optimal Quaternary Sequences with Period 2 N from Interleaving Tang–Lindner Sequences," Mathematics, MDPI, vol. 13(11), pages 1-7, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1808-:d:1666872
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