Correlation measures of binary sequences derived from Euler quotients
| Autor: | Huaning Liu, Zhixiong Chen, Chenhuang Wu |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | AIMS Mathematics, Vol 7, Iss 6, Pp 11087-11101 (2022) |
| Druh dokumentu: | article |
| ISSN: | 2473-6988 14613344 |
| DOI: | 10.3934/math.2022619?viewType=HTML |
| Popis: | Fermat-Euler quotients arose from the study of the first case of Fermat's Last Theorem, and have numerous applications in number theory. Recently they were studied from the cryptographic aspects by constructing many pseudorandom binary sequences, whose linear complexities and trace representations were calculated. In this work, we further study their correlation measures by introducing a new approach based on Dirichlet characters, Ramanujan sums and Gauss sums. Our results show that the 4-order correlation measures of these sequences are very large. Therefore they may not be suggested for cryptography. |
| Databáze: | Directory of Open Access Journals |
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