New Secondary Constructions of Generalized Bent Functions

Three new secondary constructions of generalized bent functions are presented. We provide a secondary construction of generalized bent functions from indirect sum methods proposed by Carlet et al. A new secondary construction of generalized bent functions from four initial functions is also investig...

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Published in:Chinese Journal of Electronics 2021-11, Vol.30 (6), p.1022-1029
Main Authors: Zhiyao, YANG, Pinhui, KE, Zhixiong, CHEN
Format: Article
Language:English
Subjects:
Bent function
Generalized bent function
Indirect sum
Walsh‐Hadamard transform
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description Three new secondary constructions of generalized bent functions are presented. We provide a secondary construction of generalized bent functions from indirect sum methods proposed by Carlet et al. A new secondary construction of generalized bent functions from four initial functions is also investigated. We demonstrate that many known constructions can be derived from our proposed construction as special cases by choosing proper initial functions and parameters. By modifying the new construction, a novel secondary construction of generalized bent functions from two initial generalized bent functions is obtained. For the binary case, the dual functions of the bent functions by our method are presented, which share the same formula as the indirect sum.
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source IEEE Xplore All Journals; IET Digital Library
subjects Bent function
Generalized bent function
Indirect sum
Walsh‐Hadamard transform
title New Secondary Constructions of Generalized Bent Functions
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