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@article{MVK_2017_8_a3, author = {O. V. Kamlovskii}, title = {The sum of modules of {Walsh} coefficients for some balanced {Boolean} functions}, journal = {Matemati\v{c}eskie voprosy kriptografii}, pages = {75--98}, publisher = {mathdoc}, volume = {8}, year = {2017}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MVK_2017_8_a3/} }
O. V. Kamlovskii. The sum of modules of Walsh coefficients for some balanced Boolean functions. Matematičeskie voprosy kriptografii, Tome 8 (2017), pp. 75-98. http://geodesic.mathdoc.fr/item/MVK_2017_8_a3/
[1] Logachev O. A., Salnikov A. A., Smyshlyaev S. V., Yaschenko V. V., Bulevy funktsii v teorii kodirovaniya i kriptologii, MTsNMO, M., 2012, 584 pp.
[2] Kamlovskii O. V., “Kolichestvo poyavlenii elementov v vykhodnykh posledovatelnostyakh filtruyuschikh generatorov”, Prikladnaya diskretnaya matematika, 2013, no. 3(21), 11–25
[3] Kamlovskii O. V., “Kolichestvo poyavlenii vektorov na tsiklakh vykhodnykh posledovatelnostei dvoichnykh kombiniruyuschikh generatorov”, Problemy peredachi informatsii, 53:1 (2017), 92–100
[4] De La Krus Khimenes R. A., Kamlovskii O. V., “Summy modulei koeffitsientov Uolsha–Adamara bulevykh funktsii”, Diskretnaya matematika, 27:4 (2015), 49–66 | DOI
[5] Dobbertin H., “Construction of bent functions and balanced Boolean functions with high nonlinearity”, Lect. Notes Comput. Sci., 1008, 1995, 61–74 | DOI | Zbl
[6] McFarland R. L., “A family of noncyclic difference sets”, J. Comb. Theory. Ser. A, 15 (1973), 1–10 | DOI | MR | Zbl
[7] Carlet C., “A large class of cryptographic Boolean functions via a study of the Maiorana–McFarland construction”, Lect. Notes Comput. Sci., 2442, 2002, 549–564 | DOI | MR | Zbl
[8] Canteaut A., Daum M., Dobbertin H., Leander G., “Finding nonnormal bent functions”, Discrete Appl. Math., 154:2 (2006), 202–218 | DOI | MR | Zbl
[9] Dalai D. K., Maitra S., Sarkar S., “Basic theory in construction of Boolean functions with maximum possible annihilator immunity”, Designs, codes and cryptography, 40:1 (2006), 41–58 | DOI | MR | Zbl
[10] Titswort R. C., Correlation properties of cyclic sequences, Calif. Inst. Technol., 1962, 244 pp.
[11] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii. Gipergeometricheskaya funktsiya. Funktsii Lezhandra, Nauka, M., 1973, 296 pp.
[12] Bogonatov R. V., “Rang summy dvukh rekurrent maksimalnogo perioda nad $\mathbb{Z}_{2^n}$”, Obozrenie prikl. i promyshl. matem., 16:6 (2009), 1027–1028