caa a22 4500 605519137 CHVBK 20210128100729.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10559-015-9760-7 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9760-7 Alekseychuk A. Institute of Special Communication and Information Protection of the National Technical University of Ukraine "Kyiv Polytechnic Institute”, Kyiv, Ukraine aut Improved Upper Bound for the Relative Distance Between a Boolean Function and the Set of k -Dimensional Functions [Elektronische Daten] [A. Alekseychuk] A theorem is proved that improves a previously upper bound for the relative distance between a Boolean function of n variables and the set of k-dimensional functions, k < n. The proof is based on the Bonami-Beckner inequality. Springer Science+Business Media New York, 2015 correlation cryptanalysis nationallicence k -dimensional Boolean function nationallicence bent function nationallicence Walsh-Hadamard transform nationallicence Bonami-Beckner inequality nationallicence Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/5(2015-09-01), 687-691 1060-0396 51:5<687 2015 51 10559 https://doi.org/10.1007/s10559-015-9760-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9760-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Alekseychuk A. Institute of Special Communication and Information Protection of the National Technical University of Ukraine "Kyiv Polytechnic Institute”, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/5(2015-09-01), 687-691 1060-0396 51:5<687 2015 51 10559