Further Results on Autocorrelation of Vectorial Boolean Functions

In this paper, we study the properties of the sum-of-squares indicator of vectorial Boolean functions. Firstly, we give the upper bound of $\sum_{u\in \mathbb{F}_2^n,v\in \mathbb{F}_2^m}\mathcal{W}_F^3(u,v)$. Secondly, based on the Walsh-Hadamard transform, we give a secondary construction of vector...

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Veröffentlicht in:	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Communications and Computer Sciences, 2023/10/01, Vol.E106.A(10), pp.1305-1310
Hauptverfasser:	LI, Zeyao, JIANG, Niu, ZHUO, Zepeng
Format:	Artikel
Sprache:	eng
Schlagworte:	autocorrelation function Autocorrelation functions Boolean functions Cryptography Indicators Upper bounds vectorial bent function vectorial Boolean function Walsh-Hadamard transform
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