A new class of efficient piecewise nonlinear chaotic maps for secure cryptosystems
In this paper we construct a new class of nonlinear chaotic maps for secure cryptosystems. These maps can overcome the security holes brought by the "piecewise linearity" of the previous Piecewise Linear Chaotic Maps (PWLCM) due to a fact that the chaotic sequences generated by the derived...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Conference Paper |
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Institute of Electrical and Electronics Engineers
2009
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| Subjects: | |
| Online Access: | http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5212550 http://hdl.handle.net/20.500.11937/14433 |
| _version_ | 1848748621386743808 |
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| author | Li, Y. Feng, Q. Liu, Wan-quan Wang, Y. |
| author2 | Loi Lei Lai |
| author_facet | Loi Lei Lai Li, Y. Feng, Q. Liu, Wan-quan Wang, Y. |
| author_sort | Li, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we construct a new class of nonlinear chaotic maps for secure cryptosystems. These maps can overcome the security holes brought by the "piecewise linearity" of the previous Piecewise Linear Chaotic Maps (PWLCM) due to a fact that the chaotic sequences generated by the derived iterative system based on the proposed maps are proved to have perfect dynamic properties, such as uniform invariant distribution, d-like autocorrelation function etc. Furthermore, the relative quantized two-value sequences also have perfect secure statistical characteristics. In terms of computing speed, the proposed maps have faster speed than the recently proposed nonlinear "piecewise-square-root" maps (PSRM), and they actually have equivalently the same computing speed with the linear PWLCM. |
| first_indexed | 2025-11-14T07:07:57Z |
| format | Conference Paper |
| id | curtin-20.500.11937-14433 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:07:57Z |
| publishDate | 2009 |
| publisher | Institute of Electrical and Electronics Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-144332017-10-02T02:27:09Z A new class of efficient piecewise nonlinear chaotic maps for secure cryptosystems Li, Y. Feng, Q. Liu, Wan-quan Wang, Y. Loi Lei Lai Chaotic maps Invariant - distribution Nonlinear maps Cryptography In this paper we construct a new class of nonlinear chaotic maps for secure cryptosystems. These maps can overcome the security holes brought by the "piecewise linearity" of the previous Piecewise Linear Chaotic Maps (PWLCM) due to a fact that the chaotic sequences generated by the derived iterative system based on the proposed maps are proved to have perfect dynamic properties, such as uniform invariant distribution, d-like autocorrelation function etc. Furthermore, the relative quantized two-value sequences also have perfect secure statistical characteristics. In terms of computing speed, the proposed maps have faster speed than the recently proposed nonlinear "piecewise-square-root" maps (PSRM), and they actually have equivalently the same computing speed with the linear PWLCM. 2009 Conference Paper http://hdl.handle.net/20.500.11937/14433 http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5212550 Institute of Electrical and Electronics Engineers fulltext |
| spellingShingle | Chaotic maps Invariant - distribution Nonlinear maps Cryptography Li, Y. Feng, Q. Liu, Wan-quan Wang, Y. A new class of efficient piecewise nonlinear chaotic maps for secure cryptosystems |
| title | A new class of efficient piecewise nonlinear chaotic maps for secure cryptosystems |
| title_full | A new class of efficient piecewise nonlinear chaotic maps for secure cryptosystems |
| title_fullStr | A new class of efficient piecewise nonlinear chaotic maps for secure cryptosystems |
| title_full_unstemmed | A new class of efficient piecewise nonlinear chaotic maps for secure cryptosystems |
| title_short | A new class of efficient piecewise nonlinear chaotic maps for secure cryptosystems |
| title_sort | new class of efficient piecewise nonlinear chaotic maps for secure cryptosystems |
| topic | Chaotic maps Invariant - distribution Nonlinear maps Cryptography |
| url | http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5212550 http://hdl.handle.net/20.500.11937/14433 |