Image encryption algorithm using natural interval extensions

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dc.creatorLucas Giovani Nardo
dc.creatorArthur Mendes Lima
dc.creatorErivelton Geraldo Nepomuceno
dc.creatorJanier Arias García
dc.date.accessioned2025-04-15T14:02:36Z
dc.date.accessioned2025-09-08T23:31:46Z
dc.date.available2025-04-15T14:02:36Z
dc.date.issued2018
dc.identifier.urihttps://hdl.handle.net/1843/81590
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartof4th Brazilian Technology Symposium
dc.rightsAcesso Aberto
dc.subjectSistemas dinâmicos diferenciais
dc.subjectRedes de computadores - Medidas de segurança
dc.subject.otherImage encryption
dc.subject.otherNatural interval extensions
dc.subject.otherLower bound error
dc.subject.otherChua's circuit
dc.subject.otherChaotic dynamical systems present interesting properties as its transitivity, the high density of the periodic points of the function in metric space and its sensitive to initial conditions
dc.titleImage encryption algorithm using natural interval extensions
dc.typeArtigo de evento
local.description.resumoIt is known that chaotic systems have widely been used in cryptography. Generally, floating point simulations are used to generate pseudo-random sequence of numbers. Although, it is possible to find some works on the degradation of chaotic systems due to finite precision of digital computers, little attention has been paid to exploit this limitation to formulate efficient process for image encode. This article proposes a novel image encryption method using natural interval extensions. The sequence of arithmetic operations is different in each natural interval extension. This is what we need to produce two different sequences; the difference between these sequences is used to generate the lower bound error, which has been shown to present satisfactory pseudo-random properties. The approach has been successfully tested using the Chua’s circuit as the chaotic system. The secret key has presented good properties for encrypting the Lena image.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://arxiv.org/pdf/1812.10427

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