Pseudo-random bit generator based on multi-modal maps
"In this work we present a pseudo-random Bit Generator via unidimensional multi-modal discrete dynamical systems calledk-modal maps. These multi-modal maps are based on the logistic map and are useful to yield pseudo-random sequences with longer period, i.e., in order to attend the problem of p...
| Authors: | , |
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| Format: | article |
| Status: | Versión enviada para evaluación y publicación |
| Publication Date: | 2015 |
| Country: | México |
| Institution: | Instituto Potosino de Investigación Científica y Tecnológica |
| Repository: | Repositorio Institucional del IPICYT |
| OAI Identifier: | oai:ipicyt.repositorioinstitucional.mx:1010/1777 |
| Online Access: | http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1777 |
| Access Level: | Open access |
| Keyword: | info:eu-repo/classification/Autor/Chaotic behavior info:eu-repo/classification/Autor/Lyapunov exponent info:eu-repo/classification/Autor/Bifurcation parameter info:eu-repo/classification/Autor/Bifurcation diagram info:eu-repo/classification/Autor/Pseudo-random generator info:eu-repo/classification/Autor/NIST info:eu-repo/classification/Autor/Stream cipher info:eu-repo/classification/Autor/Key stream info:eu-repo/classification/Autor/k-modal maps info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/12 |
| Summary: | "In this work we present a pseudo-random Bit Generator via unidimensional multi-modal discrete dynamical systems calledk-modal maps. These multi-modal maps are based on the logistic map and are useful to yield pseudo-random sequences with longer period, i.e., in order to attend the problem of periodicity. In addition the pseudo-random sequences generated via multi-modal maps are evaluated with the statistical suite of test from NIST and satisfactory results are obtained when they are used as key stream. Furthermore, we show the impact of using these sequences in a stream cipher resulting in a better encryption quality correlated with the number of modals of the chaotic map. Finally, a statistical security analysis applied to cipher images is given. The proposed algorithm to encrypt is able to resist the chosen-plaintext attack and differential attack because the same set of encryption keys generates a different cipher image every time it is used." |
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