Cryptology ePrint Archive: Report 2016/335

Complete characterization of generalized bent and 2^k-bent Boolean functions

Chunming Tang, Can Xiang, Yanfeng Qi, Keqin Feng

Abstract: In this paper we investigate properties of generalized bent Boolean functions and 2k-bent (i.e., negabent, octabent, hex- adecabent, et al.) Boolean functions in a uniform framework. We generalize the work of Stˇ anicˇ a et al., present necessary and sufficient conditions for generalized bent Boolean functions and 2k-bent Boolean functions in terms of classical bent functions, and completely characterize these functions in a combinatorial form. The result of this paper further shows that all generalized bent Boolean functions are regular.

Category / Keywords: foundations /

Date: received 27 Mar 2016

Contact author: tangchunmingmath at 163 com

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Version: 20160330:075457 (All versions of this report)

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