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Cryptography based on the composition of chaotic maps

Grant number: 21/07377-9
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): September 01, 2021
Effective date (End): April 30, 2022
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal researcher:Odemir Martinez Bruno
Grantee:João Pedro do Valle Alvarenga
Home Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The present proposal aims to develop cryptography based on the composition of chaotic maps, specifically the composition of the logistic map with the tent map. This approach allows the development of cryptography with great security potential, low execution time and little computational effort. Since the properties presented by the composition of the chaotic maps are relevant to the cryptographic application, as studied in the candidate's previous Scientific Initiations (the last one being a FAPESP grantee). In order to continue the candidate's research, this proposal aims to learn cryptography and cryptanalysis techniques for the application of chaotic map composition in cryptographic ciphers. (AU)

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