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Remarks on the Ideal Arithmetic Autocorrelation of Sequences
- Authors: Edemskiy V.A1
-
Affiliations:
- Yaroslav-the-Wise Novgorod State University
- Issue: Vol 61, No 2 (2025)
- Pages: 96-99
- Section: Automata Theory
- URL: https://www.journal-ta.ru/0555-2923/article/view/691890
- DOI: https://doi.org/10.7868/S3034583925020071
- ID: 691890
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Abstract
Necessary and sufficient conditions are found for binary sequences formed by a feedback with carry shift register to have an ideal arithmetic autocorrelation for any initial state of the register.
About the authors
V. A Edemskiy
Yaroslav-the-Wise Novgorod State University
Email: vladimir.edemsky@novsu.ru
Великий Новгород
References
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- Goresky M., Klapper A. Arithmetic Crosscorrelations of Feedback with Carry Shift Register Sequences // IEEE Trans. Inf. Theory. 1997. V. 43. № 4. P. 1342–1345. https://doi.org/10.1109/18.605605
- Chen Z., Edemskiy V., Niu Z., Sang Y. Arithmetic Correlation of Binary Half-_-Sequences // IET Inf. Secur. 2023. V. 17. № 2. P. 289–293. https://doi.org/10.1049/ise2.12093
- Chen Z., Edemskiy V., Wu C. Binary Sequences with Ideal and Small Arithmetic Correlations // Cryptogr. Commun. 2025. V. 17. № 2. P. 453–464. https://doi.org/10.1007/s12095-024-00770-7
- Berndt B. Classical Theorems on Quadratic Residues // Enseign. Math. (2). 1976. V. 22. № 3–4. P. 261–304.
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