| Issue |
RAIRO-Theor. Inf. Appl.
Volume 58, 2024
|
|
|---|---|---|
| Article Number | 7 | |
| Number of page(s) | 12 | |
| DOI | https://doi.org/10.1051/ita/2023013 | |
| Published online | 19 March 2024 | |
Improvements on the 4-adic complexity of a class of quaternary sequences
1
School of Mathematics and Big Data, Chaohu University,
Hefei
238024,
PR China
2
Chern Institute of Mathematics and LPMC, Nankai University,
Tianjin
300071,
PR China
* Corresponding author: ahjiangting@126.com
Received:
2
September
2022
Accepted:
16
November
2023
Yang and Ke proposed a new class of quaternary sequences with low autocorrelation of period pq by using the inverse Gray mapping and the pair of two generalized cyclotomic sequences (Cryptography and Communications, vol. 3, pp. 55–64, 2011). In this paper, we aim to study and determine the 4-adic complexity of this class of quaternary sequences, and our results show that the 4-adic complexity of this class of quaternary sequences is quite large, and it can reach the maximum in particular cases.
Mathematics Subject Classification: 94A55 / 94A60 / 65C10
Key words: Quaternary sequences / 4-adic complexity / generalized cyclotomic sequences / inverse Gray mapping / stream cipher
© The authors. Published by EDP Sciences, 2024
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