A Class of New Quadratic Vectorial Bent Functions

Pang, Tingting; Zeng, Xiangyong; Li, Nian; Xu, Yan

doi:10.1049/cje.2020.08.002

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2021

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“…The latter is also called secondary construction (using known bent functions to built new bent functions), which contains "Rothaus construction [5,6] , direct sum and indirect sum [7,8] ". It is an efficient way to generate more bent functions and thus has received sustained attentions by the researchers in the last decades [9][10][11][12][13][14] .…”

Section: Introductionmentioning

confidence: 99%

New Secondary Constructions of Generalized Bent Functions

Zhiyao

Chen

2021

Chinese J of Electronics

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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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