Volume 30 Issue 6
Nov.  2021
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YANG Zhiyao, KE Pinhui, CHEN Zhixiong. New Secondary Constructions of Generalized Bent Functions[J]. Chinese Journal of Electronics, 2021, 30(6): 1022-1029. doi: 10.1049/cje.2021.08.003
Citation: YANG Zhiyao, KE Pinhui, CHEN Zhixiong. New Secondary Constructions of Generalized Bent Functions[J]. Chinese Journal of Electronics, 2021, 30(6): 1022-1029. doi: 10.1049/cje.2021.08.003

New Secondary Constructions of Generalized Bent Functions

doi: 10.1049/cje.2021.08.003
Funds:

This work is supported by the National Natural Science Foundation of China (No.61772292, No.61772476), the Provincial Natural Science Foundation of Fujian (No.2019J01273) and Fujian Normal University Innovative Research Team (No.IRTL1207).

  • Received Date: 2021-01-08
  • Rev Recd Date: 2021-04-30
  • Available Online: 2021-09-23
  • Publish Date: 2021-11-05
  • 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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