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

Author(s)

Machicao, Jeaneth ^[1] ; Alves, Marcela ^[2] ; Baptista, Murilo S. ^[3] ; Bruno, Odemir M. ^{[1, 2]}

Affiliation

^[1] Univ Sao Paulo, Sao Carlos Inst Phys, POB 369, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Sao Paulo, Inst Math & Comp Sci, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil

^[3] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE - Scotland

• Document type: Journal article
• Source: INTERNATIONAL JOURNAL OF MODERN PHYSICS C; v. 30, n. 5 MAY 2019.
• Web of Science Citations: 0

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 pseudorandom 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. (AU)

• FAPESP's process: 14/08026-1 - Artificial vision and pattern recognition applied to vegetal plasticity
• Grantee: Odemir Martinez Bruno
• Support Opportunities: Regular Research Grants