A Study of the Haar Spectra of Ternary Bent Functions.

Saved in:

Bibliographic Details
Title:	A Study of the Haar Spectra of Ternary Bent Functions.
Authors:	STANKOVIĆ, RADOMIR S.¹ Radomir.Stankovic@gmail.com, STANKOVIĆ, MILENA², MORAGA, CLAUDIO³, ASTOLA, JAAKKO⁴
Source:	Journal of Multiple-Valued Logic & Soft Computing. 2025, Vol. 45 Issue 1-3, p153-177. 25p.
Subjects:	Bent functions, Haar function, Spectrum analysis, Senses
Abstract:	In the spectral domain, ternary bent functions are defined as ternary functions having flat Vilenkin-Chrestenson spectra. This transform is a global transform in the sense that all function values are involved in computing every spectral coefficient. The paper presents an analysis of characteristics of the spectra of ternary bent functions with respect to the ternary Haar transform, which is a multiresolution and local transform in the above sense. Due to this, it provides a further insight in the structure of ternary bent functions, their characteristics, and mutual relationships. [ABSTRACT FROM AUTHOR]
	Copyright of Journal of Multiple-Valued Logic & Soft Computing is the property of Old City Publishing, Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database:	Engineering Source

Description
Abstract:	In the spectral domain, ternary bent functions are defined as ternary functions having flat Vilenkin-Chrestenson spectra. This transform is a global transform in the sense that all function values are involved in computing every spectral coefficient. The paper presents an analysis of characteristics of the spectra of ternary bent functions with respect to the ternary Haar transform, which is a multiresolution and local transform in the above sense. Due to this, it provides a further insight in the structure of ternary bent functions, their characteristics, and mutual relationships. [ABSTRACT FROM AUTHOR]
ISSN:	15423980