Sidon sets, thin sets, and the nonlinearity of vectorial Boolean functions

The vectorial nonlinearity of a vector-valued function is its distance from the set of affine functions. In 2017, Liu, Mesnager, and Chen conjectured a general upper bound for the vectorial linearity. Recently, Carlet established a lower bound in terms of differential uniformity. In this paper, we i...

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Veröffentlicht in:	Journal of combinatorial theory. Series A Jg. 212; S. 106001
1. Verfasser:	Nagy, Gábor P.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 01.05.2025
Schlagworte:	APN functions Error correcting codes Hamming distance Sidon sets Vectorial Boolean functions APN functions Hamming distance Sidon sets Vectorial Boolean functions Error correcting codes
ISSN:	0097-3165
Online-Zugang:	Volltext
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