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Pseudo-random bit generator based on multi-modal maps
RICARDO GALLEGOS GINORI
Eric Campos Cantón
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1007/s11071-015-2303-y
Chaotic behavior
Lyapunov exponent
Bifurcation parameter
Bifurcation diagram
Pseudo-random generator
NIST
Stream cipher
Key stream
k-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 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."
Springer
2015
Artículo
García Martínez, M. & Campos-Cantón, E. Nonlinear Dyn (2015) 82: 2119. https://doi.org/10.1007/s11071-015-2303-y
MATEMÁTICAS
Versión revisada
submittedVersion - Versión revisada
Aparece en las colecciones: Publicaciones Científicas Control y Sistemas Dinámicos

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