Exploiting ergodicity of the logistic map using deep-zoom to improve security of chaos-based cryptosystems

Jeaneth Machicao; Marcela Alves; Murilo S. Baptista; Odemir M. Bruno

doi:10.1142/S0129183119500335

Exploiting ergodicity of the logistic map using deep-zoom to improve security of chaos-based cryptosystems

Jeaneth Machicao, Marcela Alves, Murilo S. Baptista, Odemir M. Bruno^* (Corresponding Author)

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper explores the deep-zoom properties of the chaotic k-logistic map, in order to propose an improved chaos-based cryptosystem. This map was shown to enhance the random features of the Logistic map, while at the same time reducing the predictability about its orbits. We incorporate its strengths to security into a previously published cryptosystem to provide an optimal pseudo-random number generator (PRNG) as its core operation. The result is a reliable method that does not have the weaknesses previously reported about the original cryptosystem.

Original language	English
Article number	1950033
Journal	International Journal of Modern Physics C
Volume	30
Issue number	5
DOIs	https://doi.org/10.1142/S0129183119500335
Publication status	Published - 31 May 2019

Bibliographical note

J. M. gratefully acknowledges the ¯nancial support from the National Council for Scienti¯c and Technological Development, Brazil (CNPq) Grant No. #405503/2017-2 and #155957/2018-0. M. A. is grateful for the support of the Coordination for the Improvement of Higher Education Personnel (CAPES PROEX-9524331/M). O. M. B. acknowledges support from CNPq (Grant No. #307897/2018-4) and FAPESP (Grant No. #14/08026-1).

Keywords

Chaos
Cryptography
cryptosystems
deep-zoom
logistic map
PRNG

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Cite this

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title = "Exploiting ergodicity of the logistic map using deep-zoom to improve security of chaos-based cryptosystems",

abstract = "This paper explores the deep-zoom properties of the chaotic k-logistic map, in order to propose an improved chaos-based cryptosystem. This map was shown to enhance the random features of the Logistic map, while at the same time reducing the predictability about its orbits. We incorporate its strengths to security into a previously published cryptosystem to provide an optimal pseudo-random number generator (PRNG) as its core operation. The result is a reliable method that does not have the weaknesses previously reported about the original cryptosystem.",

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AU - Machicao, Jeaneth

AU - Alves, Marcela

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AU - Bruno, Odemir M.

N1 - J. M. gratefully acknowledges the ¯nancial support from the National Council for Scienti¯c and Technological Development, Brazil (CNPq) Grant No. #405503/2017-2 and #155957/2018-0. M. A. is grateful for the support of the Coordination for the Improvement of Higher Education Personnel (CAPES PROEX-9524331/M). O. M. B. acknowledges support from CNPq (Grant No. #307897/2018-4) and FAPESP (Grant No. #14/08026-1).

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N2 - This paper explores the deep-zoom properties of the chaotic k-logistic map, in order to propose an improved chaos-based cryptosystem. This map was shown to enhance the random features of the Logistic map, while at the same time reducing the predictability about its orbits. We incorporate its strengths to security into a previously published cryptosystem to provide an optimal pseudo-random number generator (PRNG) as its core operation. The result is a reliable method that does not have the weaknesses previously reported about the original cryptosystem.

AB - This paper explores the deep-zoom properties of the chaotic k-logistic map, in order to propose an improved chaos-based cryptosystem. This map was shown to enhance the random features of the Logistic map, while at the same time reducing the predictability about its orbits. We incorporate its strengths to security into a previously published cryptosystem to provide an optimal pseudo-random number generator (PRNG) as its core operation. The result is a reliable method that does not have the weaknesses previously reported about the original cryptosystem.

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KW - Cryptography

KW - cryptosystems

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Exploiting ergodicity of the logistic map using deep-zoom to improve security of chaos-based cryptosystems

Abstract

Bibliographical note

Keywords

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