IEICE TRANSACTIONS on Fundamentals
Investigations on c-Bent4 Functions via the Unitary Transform and c-Correlation Functions
Summary :
In this paper, some properties of Boolean functions via the unitary transform and c-correlation functions are presented. Based on the unitary transform, we present two classes of secondary constructions for c-bent4 functions. Also, by using the c-correlation functions, a direct link between c-autocorrelation function and the unitary transform of Boolean functions is provided, and the relationship among c-crosscorrelation functions of arbitrary four Boolean functions can be obtained.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E106-A No.5 pp.851-857
- Publication Date
- 2023/05/01
- Publicized
- 2022/11/11
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2022EAP1086
- Type of Manuscript
- PAPER
- Category
- Cryptography and Information Security
Authors
Niu JIANG
Huaibei Normal University
Zepeng ZHUO
Huaibei Normal University
Guolong CHEN
Huaibei Normal University,Bengbu University
Keyword
Latest Issue
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Niu JIANG, Zepeng ZHUO, Guolong CHEN, "Investigations on c-Bent4 Functions via the Unitary Transform and c-Correlation Functions" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 5, pp. 851-857, May 2023, doi: 10.1587/transfun.2022EAP1086.
Abstract: In this paper, some properties of Boolean functions via the unitary transform and c-correlation functions are presented. Based on the unitary transform, we present two classes of secondary constructions for c-bent4 functions. Also, by using the c-correlation functions, a direct link between c-autocorrelation function and the unitary transform of Boolean functions is provided, and the relationship among c-crosscorrelation functions of arbitrary four Boolean functions can be obtained.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2022EAP1086/_p
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@ARTICLE{e106-a_5_851,
author={Niu JIANG, Zepeng ZHUO, Guolong CHEN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Investigations on c-Bent4 Functions via the Unitary Transform and c-Correlation Functions},
year={2023},
volume={E106-A},
number={5},
pages={851-857},
abstract={In this paper, some properties of Boolean functions via the unitary transform and c-correlation functions are presented. Based on the unitary transform, we present two classes of secondary constructions for c-bent4 functions. Also, by using the c-correlation functions, a direct link between c-autocorrelation function and the unitary transform of Boolean functions is provided, and the relationship among c-crosscorrelation functions of arbitrary four Boolean functions can be obtained.},
keywords={},
doi={10.1587/transfun.2022EAP1086},
ISSN={1745-1337},
month={May},}
Copy
TY - JOUR
TI - Investigations on c-Bent4 Functions via the Unitary Transform and c-Correlation Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 851
EP - 857
AU - Niu JIANG
AU - Zepeng ZHUO
AU - Guolong CHEN
PY - 2023
DO - 10.1587/transfun.2022EAP1086
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2023
AB - In this paper, some properties of Boolean functions via the unitary transform and c-correlation functions are presented. Based on the unitary transform, we present two classes of secondary constructions for c-bent4 functions. Also, by using the c-correlation functions, a direct link between c-autocorrelation function and the unitary transform of Boolean functions is provided, and the relationship among c-crosscorrelation functions of arbitrary four Boolean functions can be obtained.
ER -
English
