Abstract
First, this paper discusses and sums up some properties of a pair of functions p(x), q(x) that makes (y +1)p(x)+yq(x) into a bent function. Then it discusses the properties of bent functions. Also, the upper and lower bounds of the number of bent functions on GF(2)2k are discussed.
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Supported by Returned Overseas Student Foundation of Shanxi Province of China and by Fund of Nanjing University of Information Science and Technology
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Zhao, Y. Some Properties of Bent Functions. Acta Mathematicae Applicatae Sinica, English Series 23, 389–394 (2007). https://doi.org/10.1007/s10255-007-0379-y
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DOI: https://doi.org/10.1007/s10255-007-0379-y