Image encryption algorithm using natural interval extensions
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Universidade Federal de Minas Gerais
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It 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.
Abstract
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Sistemas dinâmicos diferenciais, Redes de computadores - Medidas de segurança
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Image encryption, Natural interval extensions, Lower bound error, Chua's circuit, Chaotic 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
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https://arxiv.org/pdf/1812.10427