Arithmetic correlation of binary half‐ℓ‐sequences
Autor: | Zhixiong Chen, Vladimir Edemskiy, Zhihua Niu, Yuqi Sang |
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Jazyk: | angličtina |
Rok vydání: | 2023 |
Předmět: | |
Zdroj: | IET Information Security, Vol 17, Iss 2, Pp 289-293 (2023) |
Druh dokumentu: | article |
ISSN: | 1751-8717 1751-8709 |
DOI: | 10.1049/ise2.12093 |
Popis: | Abstract The arithmetic correlations of two binary half‐ℓ‐sequences with connection integer pr, which is an odd prime power, are investigated. Possible values (of the arithmetic correlation) are calculated. In particular, if p ≡ 1 (mod 8), the authors prove that they are zero for non‐trivial shifts, that is, the half‐ℓ‐sequences have ideal arithmetic correlations. If p ≡ −1 (mod 8), an upper bound, which is of order of magnitude pr−1/2 ln p, is derived by using earlier results on the imbalance of half‐ℓ‐sequences with connection integer p studied by Gu and Klapper and later improved by Wang and Tan. |
Databáze: | Directory of Open Access Journals |
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