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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2018 Volume 25, Issue 1, Pages 98–119 (Mi da891)

This article is cited in 6 papers

The Hamming distance spectrum between self-dual Maiorana–McFarland bent functions

A. V. Kutsenko

Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia

Abstract: A bent function is self-dual if it is equal to its dual function. We study the metric properties of the self-dual bent functions constructed on using available constructions. We find the full Hamming distance spectrum between self-dual Maiorana–McFarland bent functions. Basing on this, we find the minimal Hamming distance between the functions under study. Bibliogr. 22.

Keywords: Hamming distance, self-dual bent function, Maiorana–McFarland bent function.

UDC: 519.7

Received: 17.10.2016
Revised: 27.07.2017

DOI: 10.17377/daio.2018.25.557


 English version:
Journal of Applied and Industrial Mathematics, 2018, 12:1, 112–125

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© Steklov Math. Inst. of RAS, 2025