Paper 2022/143
Composition construction of new bent functions from known dually isomorphic bent functions
Guangpu Gao, Weiguo Zhang, and Yongjuan Wang
Abstract
Bent functions are optimal combinatorial objects and have been studied over the last four decades. Secondary construction plays a central role in constructing bent functions since it may generate bent functions outside the primary classes of bent functions. In this study, we improve a theoretical framework of the secondary construction of bent functions in terms of the composition of Boolean functions. Based on this framework, we propose several constructions of bent functions through the composition of a balanced Boolean function and dually isomorphic (DI) bent functions defined herein. In addition, we present a construction of self-dual bent functions.
Metadata
- Available format(s)
-
PDF
- Category
- Secret-key cryptography
- Publication info
- Preprint. MINOR revision.
- Keywords
- Bent functionBoolean functioncompositiondual isomorphismWalsh spectrum.
- Contact author(s)
- GGsine @ hotmail com
- History
- 2022-02-09: received
- Short URL
- https://ia.cr/2022/143
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2022/143,
author = {Guangpu Gao and Weiguo Zhang and Yongjuan Wang},
title = {Composition construction of new bent functions from known dually isomorphic bent functions},
howpublished = {Cryptology ePrint Archive, Paper 2022/143},
year = {2022},
note = {\url{https://eprint.iacr.org/2022/143}},
url = {https://eprint.iacr.org/2022/143}
}
