XU Yuwei, LIU Feng, WU Chuankun. Preimage Distributions of Perfect Nonlinear Functions and Vectorial Plateaued Functions[J]. Chinese Journal of Electronics, 2019, 28(5): 933-937. doi: 10.1049/cje.2019.06.013
Citation: XU Yuwei, LIU Feng, WU Chuankun. Preimage Distributions of Perfect Nonlinear Functions and Vectorial Plateaued Functions[J]. Chinese Journal of Electronics, 2019, 28(5): 933-937. doi: 10.1049/cje.2019.06.013

Preimage Distributions of Perfect Nonlinear Functions and Vectorial Plateaued Functions

doi: 10.1049/cje.2019.06.013
Funds:  This work is supported by the National Natural Science Foundation of China (No.61671448), the Strategic Priority Research Program of the Chinese Academy of Sciences (No.XDA06010701), and the National Key R&D Program of China (No.2016YFB0800100).
  • Received Date: 2017-03-17
  • Rev Recd Date: 2017-04-19
  • Publish Date: 2019-09-10
  • By converting the problem of preimage distribution of a perfect nonlinear function with three binary outputs to that with two binary outputs, this paper presents the preimage distributions of perfect nonlinear functions with three binary outputs. This paper also characterizes the fundamental characterization of the preimage distribution of vectorial plateaued functions with single amplitude and its component functions being all unbalanced, and gives the preimage distributions of such functions with two or three binary outputs.
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