Curvature of the Boolean majority function-Reference-Cited by-同舟云学术

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Curvature of the Boolean majority function

Published:2022-10-01 Issue:5 Volume:32 Page:359-367
ISSN:0924-9265
Container-title:Discrete Mathematics and Applications
language:en
Short-container-title:

Author:

Tissin Aleksandr S.¹

Affiliation:

1. Certification Research Center , LLC, Moscow Russia

Abstract

Abstract The Boolean majority function and the generalized Boolean majority function of an even number n of variables are considered. For these functions exact values of the Walsh coefficients and the curvature are calculated.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

https://www.degruyter.com/document/doi/10.1515/dma-2022-0029/pdf

Reference12 articles.

1. Logachev O. A., Salnikov A. A., Smyshlyaev S. V., Yashchenko V. V., Boolean functions in coding theory and cryptology, M.: MCCME, 2012 (in Russian), 584 pp.

2. Logachev O. A., Fedorov S. N., Yashchenko V. V., “On the Δ-equivalence of Boolean functions”, Discrete Math. Appl., 30:2 (2020), 93–101.

3. Logachev O. A., Fedorov S. N., Yashchenko V. V., “Boolean functions as points on the hypersphere in the Euclidean space”, Discrete Math. Appl., 29:2 (2019), 89–101.

4. KamlovskiiO.V., “The sum ofmodules of Walsh coefficients for some balanced Boolean functions”, MatematicheskieVoprosy Kriptografii, 19:2 (2017), 129–145 (in Russian).

5. de la Cruz Jimenez R. A., Kamlovskiy O. V., “The sum of modules of Walsh coefficients of Boolean functions”, Discrete Math. Appl., 26:5 (2016), 259–272.

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