Bull. Korean Math. Soc. 2023; 60(3): 561-574
Online first article May 15, 2023 Printed May 31, 2023
https://doi.org/10.4134/BKMS.b210374
Copyright © The Korean Mathematical Society.
Jong Yoon Hyun
Konkuk University, Glocal Campus
In this paper, we focus on establishing the MacWilliams-type identities on vectorial Boolean functions with bent component functions. As their applications, we provide a bound for the non-existence of vectorial dual-bent functions with prescribed minimum degree, and several Gleason-type theorems are presented as well.
Keywords: Extended Walsh transform, vectorial Boolean function, vectorial dual-bent function, MacWilliams-type identity, Gleason-type theorem
MSC numbers: 94B05, 94B25, 94C10, 06E30
Supported by: This paper was supported by Konkuk University in 2020.
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