Boolean Functions for Cryptography and Coding Theory

1. Introduction to cryptography, codes, Boolean and vectorial functions; 2. Generalities on Boolean and vectorial functions; 3. Boolean functions, vectorial functions and cryptography; 4. Boolean functions, vectorial functions and error correcting codes; 5. Functions with weights, Walsh spectra and nonlinearities easier to study; 6. Bent functions and plateaued functions; 7. Correlation immune and resilient functions; 8. Functions satisfying SAC, PC, EPC, or having good GAC; 9. Algebraic immune functions; 10. Particular classes of Boolean functions; 11. Highly nonlinear vectorial functions with low differential uniformity; 12. Recent uses of Boolean and vectorial functions and related problems; 13. Open questions; 14. Appendix.

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• Redes de computadores e comunicações
• Teoria da codificação e criptologia
• Teoria combinatória e dos grafos