Hybrid Control of Digital Baker Map with Application to Pseudo-Random Number Generator
Dynamical degradation occurs when chaotic systems are implemented on digital devices, which seriously threatens the security of chaos-based cryptosystems. The existing solutions mainly focus on the compensation of dynamical properties rather than on the elimination of the inherent biases of chaotic...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-05-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/23/5/578 |
| _version_ | 1797534957323681792 |
|---|---|
| author | Yuhui Shi Yashuang Deng |
| author_facet | Yuhui Shi Yashuang Deng |
| author_sort | Yuhui Shi |
| collection | DOAJ |
| description | Dynamical degradation occurs when chaotic systems are implemented on digital devices, which seriously threatens the security of chaos-based cryptosystems. The existing solutions mainly focus on the compensation of dynamical properties rather than on the elimination of the inherent biases of chaotic systems. In this paper, a unidirectional hybrid control method is proposed to improve the dynamical properties and to eliminate the biases of digital chaotic maps. A continuous chaotic system is introduced to provide external feedback control of the given digital chaotic map. Three different control modes are investigated, and the influence of control parameter on the properties of the controlled system is discussed. The experimental results show that the proposed method can not only improve the dynamical degradation of the digital chaotic map but also make the controlled digital system produce outputs with desirable performances. Finally, a pseudorandom number generator (PRNG) is proposed. Statistical analysis shows that the PRNG has good randomness and almost ideal entropy values. |
| first_indexed | 2024-03-10T11:36:54Z |
| format | Article |
| id | doaj.art-c2aab5af7bd343acbd836f3f96667a07 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T11:36:54Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-c2aab5af7bd343acbd836f3f96667a072023-11-21T18:47:39ZengMDPI AGEntropy1099-43002021-05-0123557810.3390/e23050578Hybrid Control of Digital Baker Map with Application to Pseudo-Random Number GeneratorYuhui Shi0Yashuang Deng1The School of Information and Safety Engineering, Zhongnan University of Economic and Law, Wuhan 430073, ChinaThe School of Information and Safety Engineering, Zhongnan University of Economic and Law, Wuhan 430073, ChinaDynamical degradation occurs when chaotic systems are implemented on digital devices, which seriously threatens the security of chaos-based cryptosystems. The existing solutions mainly focus on the compensation of dynamical properties rather than on the elimination of the inherent biases of chaotic systems. In this paper, a unidirectional hybrid control method is proposed to improve the dynamical properties and to eliminate the biases of digital chaotic maps. A continuous chaotic system is introduced to provide external feedback control of the given digital chaotic map. Three different control modes are investigated, and the influence of control parameter on the properties of the controlled system is discussed. The experimental results show that the proposed method can not only improve the dynamical degradation of the digital chaotic map but also make the controlled digital system produce outputs with desirable performances. Finally, a pseudorandom number generator (PRNG) is proposed. Statistical analysis shows that the PRNG has good randomness and almost ideal entropy values.https://www.mdpi.com/1099-4300/23/5/578chaosdigital Baker mapdynamical degradationhybrid controlentropy |
| spellingShingle | Yuhui Shi Yashuang Deng Hybrid Control of Digital Baker Map with Application to Pseudo-Random Number Generator Entropy chaos digital Baker map dynamical degradation hybrid control entropy |
| title | Hybrid Control of Digital Baker Map with Application to Pseudo-Random Number Generator |
| title_full | Hybrid Control of Digital Baker Map with Application to Pseudo-Random Number Generator |
| title_fullStr | Hybrid Control of Digital Baker Map with Application to Pseudo-Random Number Generator |
| title_full_unstemmed | Hybrid Control of Digital Baker Map with Application to Pseudo-Random Number Generator |
| title_short | Hybrid Control of Digital Baker Map with Application to Pseudo-Random Number Generator |
| title_sort | hybrid control of digital baker map with application to pseudo random number generator |
| topic | chaos digital Baker map dynamical degradation hybrid control entropy |
| url | https://www.mdpi.com/1099-4300/23/5/578 |
| work_keys_str_mv | AT yuhuishi hybridcontrolofdigitalbakermapwithapplicationtopseudorandomnumbergenerator AT yashuangdeng hybridcontrolofdigitalbakermapwithapplicationtopseudorandomnumbergenerator |