Zooming into chaos as a pathway for the creation of a fast, light and reliable cryptosystem

Autor(es)

Machicao, Jeaneth ; Bruno, Odemir M. ; Baptista, Murilo S.

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR DYNAMICS; v. 104, n. 1, p. 12-pg., 2021-02-22.

Resumo

Motivated by today's huge volume of data that needs to be handled in secrecy, there is a wish to develop not only fast and light but also reliably secure cryptosystems. Chaos allows for the creation of pseudo-random numbers (PRNs) by low-dimensional transformations that need to be applied only a small number of times. These two properties may translate into a chaos-based cryptosystem that is both fast (short running time) and light (little computational effort). What we propose here is an approach to generate PRNs-and consequently digital secret keys-that can serve as a seed for an enhanced chaos-based cryptosystem. We use low-dimensional chaotic maps to quickly generate PRNs that have little correlation, and then, we quickly ("fast") enhance secrecy by several orders ("reliability") with very little computational cost ("light") by simply looking at the less significant digits of the initial chaotic trajectory. This paper demonstrates this idea with rigor, by showing that a transformation applied a small number of times to chaotic trajectories significantly increases its entropy and Lyapunov exponents, as a consequence of the smoothing out of the probability density towards a uniform distribution. (AU)

• Processo FAPESP: 20/03514-9 - Avaliação dos efeitos das áreas protegidas brasileiras nas comunidades locais com base no uso e reutilização de dados biológicos, ambientais e socioeconômicos
• Beneficiário: Marina Jeaneth Machicao Justo
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 16/18809-9 - Deep learning e redes complexas aplicados em visão computacional
• Beneficiário: Odemir Martinez Bruno
• Modalidade de apoio: Auxílio à Pesquisa - Parceria para Inovação Tecnológica - PITE