The 4-adic complexity of new quaternary sequences with good autocorrelation

Quaternary sequences with high 4-adic complexity have attracted widespread attention in communication and cryptography systems. In this paper, for an odd prime  p ,  several new classes of quaternary sequences with even period 2 p  are constructed by using the Legendre sequences of period  p . And t...

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Veröffentlicht in:Applicable algebra in engineering, communication and computing Jg. 36; H. 3; S. 521 - 542
Hauptverfasser: Wang, Yan, Li, Jiawei, Li, Nian, Fu, Yanxi
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2025
Springer Nature B.V
Schlagworte:
Artificial Intelligence
Autocorrelation
Complexity
Computer Hardware
Computer Science
Original Paper
Symbolic and Algebraic Manipulation
Theory of Computation
Legendre sequences
more
Quaternary sequences
MSC code2
4-adic complexity
MSC code1
Autocorrelation
ISSN:0938-1279, 1432-0622
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Abstract Quaternary sequences with high 4-adic complexity have attracted widespread attention in communication and cryptography systems. In this paper, for an odd prime  p ,  several new classes of quaternary sequences with even period 2 p  are constructed by using the Legendre sequences of period  p . And the autocorrelation distribution of the new quaternary sequences is derived. We determine the 4-adic complexity of these new quaternary sequences. The results show that the new quaternary sequences have good autocorrelation properties, and the 4-adic complexity of these new quaternary sequences is large enough to resist the attack of the rational approximation algorithm.
AbstractList Quaternary sequences with high 4-adic complexity have attracted widespread attention in communication and cryptography systems. In this paper, for an odd prime  p ,  several new classes of quaternary sequences with even period 2 p  are constructed by using the Legendre sequences of period  p . And the autocorrelation distribution of the new quaternary sequences is derived. We determine the 4-adic complexity of these new quaternary sequences. The results show that the new quaternary sequences have good autocorrelation properties, and the 4-adic complexity of these new quaternary sequences is large enough to resist the attack of the rational approximation algorithm.
Quaternary sequences with high 4-adic complexity have attracted widespread attention in communication and cryptography systems. In this paper, for an odd prime p, several new classes of quaternary sequences with even period 2p are constructed by using the Legendre sequences of period p. And the autocorrelation distribution of the new quaternary sequences is derived. We determine the 4-adic complexity of these new quaternary sequences. The results show that the new quaternary sequences have good autocorrelation properties, and the 4-adic complexity of these new quaternary sequences is large enough to resist the attack of the rational approximation algorithm.
Author Li, Jiawei
Fu, Yanxi
Li, Nian
Wang, Yan
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  organization: Hubei Key Laboratory of Applied Mathematics, School of Cyber Science and Technology, Hubei University
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  givenname: Yanxi
  surname: Fu
  fullname: Fu, Yanxi
  organization: School of Science, Xi’an University of Architecture and Technology
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Quaternary sequences
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4-adic complexity
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Snippet Quaternary sequences with high 4-adic complexity have attracted widespread attention in communication and cryptography systems. In this paper, for an odd...
Quaternary sequences with high 4-adic complexity have attracted widespread attention in communication and cryptography systems. In this paper, for an odd prime...
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SubjectTerms Artificial Intelligence
Autocorrelation
Complexity
Computer Hardware
Computer Science
Original Paper
Symbolic and Algebraic Manipulation
Theory of Computation
Title The 4-adic complexity of new quaternary sequences with good autocorrelation
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