Haar spectrum of Bent Boolean functions
Bent Boolean functions play a very significant role in the design of strong symmetric cryptosystems. In this paper, we present an analysis of Bent functions in the Haar domain. We first present a brief overview of Bent Boolean functions and then derive expressions for the Haar spectrum of Bent func...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Institute for Mathematical Research, Universiti Putra Malaysia
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/55588/ http://irep.iium.edu.my/55588/ http://irep.iium.edu.my/55588/1/~~%20Hashum%20~%20mjms%20~%20Feb%202016%20~%20pp.%20409-416.pdf http://irep.iium.edu.my/55588/2/55588_Haar%20Spectrum%20of%20Bent%20Boolean%20Functions_SCOPUS.pdf |
| Summary: | Bent Boolean functions play a very significant role in the design of strong symmetric cryptosystems. In this paper, we present an analysis of Bent functions in the Haar domain. We first present a brief overview of Bent Boolean functions and then derive expressions for the Haar spectrum of
Bent functions. The Haar spectral coefficients of Bent functions are given in two ways namely; in terms of sub-intervals over the entire spectrum,as well as, individual spectral coefficients. Finally, we conclude the paper
with a summary of findings and suggestions for further work for utilizing the results for design of secure cryptosystems. |
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