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Constructions of Generalized Bent Boolean Functions on Odd Number of Variables

초록

영어

In this paper, we investigate the constructions of generalized bent Boolean functions defined on with values in Z4. We first present a construction of generalized bent Boolean functions defined on with values in Z4. The main technique is to utilize bent functions to derive generalized bent functions on odd number of variables. In addition, by using Boolean permutations, we provide a specific method to construct generalized bent functions on odd number of variables.

목차

Abstract
 1. Introduction
 2. Preliminaries
  2.1. Definition
 3. Main Results
  3.1. Lemma
  3.2. Theorem
  3.3. Theorem
 4. Conclusion
 Acknowledgements
 References

저자정보

  • Yong-Bin Zhao State Key Laboratory of Integrated Service Networks, Xidian University, Xi'an 710071, China, School of Information Science and Technology, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
  • Feng-Rong Zhang School of Computer Science and Technology, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China;
  • Yu-Pu Hu State Key Laboratory of Integrated Service Networks, Xidian University, Xi'an 710071, China

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