A Nonlinearly Modulated Logistic Map With Delay for Image Encryption
| Autor: | Yide Ma, Tongfeng Zhang, Ding Weikang, Benshun Yin, Shouliang Li |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Computer Networks and Communications
Computer science delay Chaotic lcsh:TK7800-8360 02 engineering and technology Lyapunov exponent Encryption Image (mathematics) symbols.namesake 0202 electrical engineering electronic engineering information engineering Electrical and Electronic Engineering business.industry lcsh:Electronics Ergodicity 020206 networking & telecommunications image encryption Nonlinear Sciences::Chaotic Dynamics Range (mathematics) Hardware and Architecture Control and Systems Engineering Signal Processing symbols 020201 artificial intelligence & image processing Logistic map business Algorithm chaotic map |
| Zdroj: | Electronics Volume 7 Issue 11 Electronics, Vol 7, Iss 11, p 326 (2018) |
| ISSN: | 2079-9292 |
| DOI: | 10.3390/electronics7110326 |
| Popis: | Considering that a majority of the traditional one-dimensional discrete chaotic maps have disadvantages including a relatively narrow chaotic range, smaller Lyapunov exponents, and excessive periodic windows, a new nonlinearly modulated Logistic map with delay model (NMLD) is proposed. Accordingly, a chaotic map called a first-order Feigenbaum-Logistic NMLD (FL-NMLD) is proposed. Simulation results demonstrate that FL-NMLD has a considerably wider chaotic range, larger Lyapunov exponents, and superior ergodicity compared with existing chaotic maps. Based on FL-NMLD, we propose a new image encryption algorithm that joins the pixel plane and bit-plane shuffle (JPB). The simulation and test results confirm that JPB has higher security than simple pixel-plane encryption and is faster than simple bit-plane encryption. Moreover, it can resist the majority of attacks including statistical and differential attacks. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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