- PII
- S3034583925020071-1
- DOI
- 10.7868/S3034583925020071
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 61 / Issue number 2
- Pages
- 96-99
- 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.
- Keywords
- регистр сдвига с обратной связью по переносу бинарные последовательности арифметическая автокорреляция
- Date of publication
- 29.07.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 38
References
- 1. Klapper A., Goresky M. Feedback Shift Registers, 2-adic Span and Combiners with Memory // J. Cryptol. 1997. V. 10. № 2. P. 111–147. https://doi.org/10.1007/s001459900024
- 2. 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
- 3. 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
- 4. 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
- 5. Berndt B. Classical Theorems on Quadratic Residues // Enseign. Math. (2). 1976. V. 22. № 3–4. P. 261–304.
