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Linear Complexity of Generalized Cyclotomic Sequences of Order 4 over

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Listed:
  • Yuhua Sun
  • Qiuyan Wang
  • Yang Yan
  • Tongjiang Yan
  • Hui Li

Abstract

Generalized cyclotomic sequences of period have several desirable randomness properties if the two primes p and q are chosen properly. In particular, Ding deduced the exact formulas for the autocorrelation and the linear complexity of these sequences of order 2. In this paper, we consider the generalized sequences of order 4. Under certain conditions, the linear complexity of these sequences is developed over a finite field . The results show that, in many cases, they have high linear complexity.

Suggested Citation

  • Yuhua Sun & Qiuyan Wang & Yang Yan & Tongjiang Yan & Hui Li, 2020. "Linear Complexity of Generalized Cyclotomic Sequences of Order 4 over," Complexity, Hindawi, vol. 2020, pages 1-8, March.
    • Handle: RePEc:hin:complx:6963487
    DOI: 10.1155/2020/6963487
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