The autocorrelation of a class of quaternary sequences of length pq with high complexity

Recently, a class of quaternary sequences with period pq, where p and q are two distinct odd primes introduced by Zhang et al. were proved to possess high linear complexity and 4-adic complexity. In this paper, we determine the autocorrelation distribution of this class of quaternary sequence. Our r...

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Bibliographic Details
Published in:Information processing letters 2024-08, Vol.186, p.106494, Article 106494
Main Authors: Yan, Feifei, Ke, Pinhui, Chang, Zuling
Format: Article
Language:English
Subjects:
Autocorrelation function
Cryptography
Inverse gray mapping
Legendre symbol
Quaternary sequences
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Summary:Recently, a class of quaternary sequences with period pq, where p and q are two distinct odd primes introduced by Zhang et al. were proved to possess high linear complexity and 4-adic complexity. In this paper, we determine the autocorrelation distribution of this class of quaternary sequence. Our results indicate that the studied quaternary sequence are weak with respect to the correlation property.
ISSN:0020-0190
1872-6119
DOI:10.1016/j.ipl.2024.106494