Cryptography based on the composition of chaotic maps

• Grant number: 21/07377-9
• Support Opportunities: 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 Investigator: Odemir Martinez Bruno
• Grantee: João Pedro do Valle Alvarenga
• Host 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)