On the theory, design and optimization of Classical and Quantum algorithms for Isogeny-based Cryptography

In this work, we present the theory behind Elliptic Curve Cryptography (ECC) and Isogeny-based cryptography. We start with a quick introduction to Complexity Theory and Cryptography. We give a detailed description of elliptic curves and discuss how they are used to create secure protocols. We presen...

• Main Author: Caamaño Mayorga, Renzo Sebastián (author)
• Format: bachelorThesis
• Language: eng
• Published: 2021
• Subjects: Curvas elípticas; Isogenias; Criptosistemas de clave pública cuántico-resistentes; Algoritmo de Shor; Elliptic curves; Isogenies; Quantum-resistant public-key cryptosystems; Shor's Algorithm
• Online Access: http://repositorio.yachaytech.edu.ec/handle/123456789/304