2022
DOI: 10.1049/ise2.12093
|View full text |Cite
|
Sign up to set email alerts
|

Arithmetic correlation of binary half‐‐sequences

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 … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Year Published

2024
2024
2024
2024

Publication Types

Select...
2

Relationship

0
2

Authors

Journals

citations
Cited by 2 publications
references
References 16 publications
0
0
0
Order By: Relevance