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: | , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Institute for Mathematical Research, Universiti Putra Malaysia
2016
|
| Subjects: | |
| Online Access: | 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 |
| _version_ | 1848784603703148544 |
|---|---|
| author | Siddiqi, Mohammad Umar Rafiq, Hashum M. |
| author_facet | Siddiqi, Mohammad Umar Rafiq, Hashum M. |
| author_sort | Siddiqi, Mohammad Umar |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T16:39:53Z |
| format | Article |
| id | iium-55588 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:39:53Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-555882017-03-06T08:40:00Z http://irep.iium.edu.my/55588/ Haar spectrum of Bent Boolean functions Siddiqi, Mohammad Umar Rafiq, Hashum M. TK5101 Telecommunication. Including telegraphy, radio, radar, television 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. Institute for Mathematical Research, Universiti Putra Malaysia 2016-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/55588/1/~~%20Hashum%20~%20mjms%20~%20Feb%202016%20~%20pp.%20409-416.pdf application/pdf en http://irep.iium.edu.my/55588/2/55588_Haar%20Spectrum%20of%20Bent%20Boolean%20Functions_SCOPUS.pdf Siddiqi, Mohammad Umar and Rafiq, Hashum M. (2016) Haar spectrum of Bent Boolean functions. Malaysian Journal of Mathematical Sciences, 10(S). pp. 409-421. E-ISSN 1823-8343 http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb2/No34.pdf |
| spellingShingle | TK5101 Telecommunication. Including telegraphy, radio, radar, television Siddiqi, Mohammad Umar Rafiq, Hashum M. Haar spectrum of Bent Boolean functions |
| title | Haar spectrum of Bent Boolean functions |
| title_full | Haar spectrum of Bent Boolean functions |
| title_fullStr | Haar spectrum of Bent Boolean functions |
| title_full_unstemmed | Haar spectrum of Bent Boolean functions |
| title_short | Haar spectrum of Bent Boolean functions |
| title_sort | haar spectrum of bent boolean functions |
| topic | TK5101 Telecommunication. Including telegraphy, radio, radar, television |
| url | 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 |