A local limit theorem for the distribution of a part of the spectrum of a random binary function
O. V. Denisov

This publication is cited in the following articles:

1. K. N. Pankov, “Uluchshennaya verkhnyaya otsenka dlya chisla platovidnykh otobrazhenii”, PDM. Prilozhenie, 2025, no. 18, 38–42    
2. K. N. Pankov, “Uluchshennye otsenki dlya chisla $k$-elastichnykh i korrelyatsionno-immunnykh dvoichnykh otobrazhenii”, PDM. Prilozhenie, 2021, no. 14, 48–51    
3. Pankov K., “Enumeration of Boolean Mapping With Given Cryptographic Properties For Personal Data Protection in Blockchain Data Storage”, Proceedings of the 24Th Conference of Open Innovations Association (Fruct), Proceedings Conference of Open Innovations Association Fruct, IEEE, 2019, 300–306  
4. K. N. Pankov, “Rekurrentnye formuly dlya chisla $k$-elastichnykh i korrelyatsionno-immunnykh dvoichnykh otobrazhenii”, PDM. Prilozhenie, 2019, no. 12, 62–66      
5. Potapov V.N., “A Lower Bound on the Number of Boolean Functions With Median Correlation Immunity”, 2019 Xvi International Symposium Problems of Redundancy in Information and Control Systems (Redundancy), International Symposium Problems of Redundancy in Information and Control Systems, IEEE, 2019, 45–46  
6. K. N. Pankov, “Improved asymptotic estimates for the numbers of correlation-immune and $k$-resilient vectorial Boolean functions”, Discrete Math. Appl., 29:3 (2019), 195–213            
7. K. N. Pankov, “Uluchshennye asimptoticheskie otsenki dlya chisla korrelyatsionno-immunnykh dvoichnykh funktsii i otobrazhenii”, PDM. Prilozhenie, 2018, no. 11, 49–52      
8. K. N. Pankov, “Utochnennye asimptoticheskie otsenki dlya chisla $(n,m,k)$-ustoichivykh dvoichnykh otobrazhenii”, PDM. Prilozhenie, 2017, no. 10, 46–49    
9. Cusick T. Stanica P., “Cryptographic Boolean Functions and Applications, 2Nd Edition”, Cryptographic Boolean Functions and Applications, 2Nd Edition, Academic Press Ltd-Elsevier Science Ltd, 2017, 1–275      
10. Etherington C.J., Anderson M.W., Bach E., Butler J.T., Stanica P., “A Parallel Approach in Computing Correlation Immunity up to Six Variables”, Int. J. Found. Comput. Sci., 27:4 (2016), 511–528          
11. K. N. Pankov, “Lokalnaya predelnaya teorema dlya raspredeleniya chasti vektora vesov podfunktsii komponent sluchainogo dvoichnogo otobrazheniya”, Matem. vopr. kriptogr., 5:3 (2014), 49–80    
12. K. N. Pankov, “Asimptoticheskie otsenki dlya chisel dvoichnykh otobrazhenii s zadannymi kriptograficheskimi svoistvami”, Matem. vopr. kriptogr., 5:4 (2014), 73–97    
13. K. N. Pankov, “Otsenki skorosti skhodimosti v predelnykh teoremakh dlya sovmestnykh raspredelenii chasti kharakteristik sluchainykh dvoichnykh otobrazhenii”, PDM, 2012, no. 4(18), 14–30  
14. G. I. Ivchenko, Yu. I. Medvedev, “Spektr sluchainoi bulevoi funktsii i ego proizvodyaschaya funktsiya”, Matem. vopr. kriptogr., 2:2 (2011), 41–53    
15. Bach E., “Improved Asymptotic Formulas for Counting Correlation Immune Boolean Functions”, SIAM Journal on Discrete Mathematics, 23:3 (2009), 1525–1538