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Generation of Dynamical S-Boxes for Block Ciphers via Extended Logistic Map

dc.contributor.authorCassal Quiroga, Bahia Betzavet
dc.contributor.authorCampos Cantón, Eric
dc.date.accessioned2021-04-26T19:14:05Z
dc.date.available2021-04-26T19:14:05Z
dc.date.issued2020
dc.identifier.citationB. B. Cassal-Quiroga, E. Campos-Cantón, "Generation of Dynamical S-Boxes for Block Ciphers via Extended Logistic Map", Mathematical Problems in Engineering, vol. 2020, Article ID 2702653, 12 pages, 2020. https://doi.org/10.1155/2020/2702653
dc.identifier.urihttp://hdl.handle.net/11627/5590
dc.description.abstract"In this work, we present a simple algorithm to design n X n-bits substitution boxes (S-boxes) based on chaotic time series of the logistic map for different carrying capacities. The use of different carrying capacities in the chaotic map leads to low computational complexity, which is desirable to get high-speed communication systems. We generate a main sequence by means of two auxiliary sequences with uniform distribution via the logistic map for different carrying capacities. The elements of the main sequence are useful for generating the elements of an S-box. The auxiliary sequences are generated by considering lag time chaotic series; this helps to hide the chaotic map used. The U-shape distribution of logistic chaotic map is also avoided, in contrast with common chaos-based schemes without considering lag time chaotic series, and uncorrelated S-box elements are obtained. The proposed algorithm guarantees the generation of strong S-boxes that fulfill the following criteria: bijection, nonlinearity, strict avalanche criterion, output bits independence criterion, criterion of equiprobable input/output XOR distribution, and maximum expected linear probability. Finally, an application premised on polyalphabetic ciphers principle is developed to obtain a uniform distribution of the plaintext via dynamical S-boxes."
dc.publisherHindawi
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectChaos
dc.subject.classificationMATEMÁTICAS
dc.titleGeneration of Dynamical S-Boxes for Block Ciphers via Extended Logistic Map
dc.typearticle
dc.identifier.doihttps://doi.org/10.1155/2020/2702653
dc.rights.accessAcceso Abierto


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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional