An asymptotic lower bound on the number of bent functions

Author:

Potapov V. N.,Taranenko A. A.ORCID,Tarannikov Yu. V.

Funder

Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference28 articles.

1. Agievich S.V.: On the representation of bent functions by bent rectangles. In: Probabilistic Methods in Discrete Mathematics, Proceedings of the Fifth International Petrozavodsk Conference, pp. 121–135, Utrecht, Boston (2002)

2. Agievich S.: Bent rectangles. In: Proceedings of the NATO advanced study institute on Boolean functions in cryptology and information security, NATO Science for Peace and Security Series D: Information and Communication Security, vol. 18, pp. 3–22, Amsterdam (2008).

3. Agievich S.V.: On the continuation to bent functions and upper bounds on their number. Prikl. Diskr. Mat. Suppl. 13, 18–21 (2020).

4. Baksova I.P., Tarannikov Y.V.: On a construction of bent functions. Surv. Appl. Ind. Math. 27(1), 64–66 (2020).

5. Baksova I.P., Tarannikov Y.V.: The bounds on the number of partitions of the space $$ {F}_2^m$$ into $$k$$-dimensional affine subspaces. Mosc. Univ. Math. Bull. 77, 131–135 (2022).

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