Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit Generator
Chaotic random bit generators have become an integral part of chaotic cryptography and other data protection applications, where they are used as sources of deterministic randomness, to secure an information signal. The performance of the generator though will be heavily affected by the chaotic syst...
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IEEE
2025-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10858710/ |
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| author | Lazaros Moysis Marcin Lawnik Christos Volos Murilo S. Baptista Sotirios K. Goudos George F. Fragulis |
| author_facet | Lazaros Moysis Marcin Lawnik Christos Volos Murilo S. Baptista Sotirios K. Goudos George F. Fragulis |
| author_sort | Lazaros Moysis |
| collection | DOAJ |
| description | Chaotic random bit generators have become an integral part of chaotic cryptography and other data protection applications, where they are used as sources of deterministic randomness, to secure an information signal. The performance of the generator though will be heavily affected by the chaotic system that is chosen. The statistical performance, key space size, operations per bit ratio, and speed, are all aspects affected by the chosen system. Thus, the same bit generator will vary in efficiency under different chaotic maps. Driven by these facts, this work studies the performance of a common modulo-based bit generator under different chaotic maps. First, the structure of the bit generator’s nonlinear hash is studied. Then, using a collection of different maps, the generator is evaluated with respect to randomness, key space size, operations per bit ratio, and execution speed. The comparison results are evaluated, to provide a series of observations regarding the use of chaotic systems in bit generators. These observations can serve as guidelines for all future chaotic encryption algorithms, and chaos-based security-related applications in general. |
| format | Article |
| id | doaj-art-811b8b27a3574d558741d0342f08b770 |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-811b8b27a3574d558741d0342f08b7702025-02-11T00:00:52ZengIEEEIEEE Access2169-35362025-01-0113236452365710.1109/ACCESS.2025.353718210858710Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit GeneratorLazaros Moysis0https://orcid.org/0000-0002-5652-2532Marcin Lawnik1https://orcid.org/0000-0002-0235-0878Christos Volos2https://orcid.org/0000-0002-8005-7888Murilo S. Baptista3https://orcid.org/0000-0003-2279-0317Sotirios K. Goudos4https://orcid.org/0000-0001-5981-5683George F. Fragulis5https://orcid.org/0000-0002-8961-7423Department of Electrical and Computer Engineering, University of Western Macedonia, Kozani, GreeceDepartment of Mathematical Methods in Technics and Informatics, Faculty of Applied Mathematics, Silesian University of Technology, Gliwice, PolandPhysics Department, Laboratory of Nonlinear Systems-Circuits and Complexity, Aristotle University of Thessaloniki, Thessaloniki, GreeceDepartment of Physics, Institute for Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen, U.K.ELEDIA@AUTH, School of Physics, Aristotle University of Thessaloniki, Thessaloniki, GreeceDepartment of Electrical and Computer Engineering, University of Western Macedonia, Kozani, GreeceChaotic random bit generators have become an integral part of chaotic cryptography and other data protection applications, where they are used as sources of deterministic randomness, to secure an information signal. The performance of the generator though will be heavily affected by the chaotic system that is chosen. The statistical performance, key space size, operations per bit ratio, and speed, are all aspects affected by the chosen system. Thus, the same bit generator will vary in efficiency under different chaotic maps. Driven by these facts, this work studies the performance of a common modulo-based bit generator under different chaotic maps. First, the structure of the bit generator’s nonlinear hash is studied. Then, using a collection of different maps, the generator is evaluated with respect to randomness, key space size, operations per bit ratio, and execution speed. The comparison results are evaluated, to provide a series of observations regarding the use of chaotic systems in bit generators. These observations can serve as guidelines for all future chaotic encryption algorithms, and chaos-based security-related applications in general.https://ieeexplore.ieee.org/document/10858710/Chaosdiscrete mapencryptionpseudo random bit generator |
| spellingShingle | Lazaros Moysis Marcin Lawnik Christos Volos Murilo S. Baptista Sotirios K. Goudos George F. Fragulis Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit Generator IEEE Access Chaos discrete map encryption pseudo random bit generator |
| title | Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit Generator |
| title_full | Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit Generator |
| title_fullStr | Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit Generator |
| title_full_unstemmed | Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit Generator |
| title_short | Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit Generator |
| title_sort | testing the strength of chaotic systems as seeds in a pseudo random bit generator |
| topic | Chaos discrete map encryption pseudo random bit generator |
| url | https://ieeexplore.ieee.org/document/10858710/ |
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