Criptografia de curvas elípticas

• Ano de defesa: 2017
• Autor(a) principal: Angulo, Rigo Julian Osorio
• Orientador(a): Chaves, Ana Paula de Araújo
• Banca de defesa: Chaves, Ana Paula de Araújo , Rodrigues, Paulo Henrique de Azevedo, Godinho, Hemar Teixeira
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Goiás
• Programa de Pós-Graduação: Programa de Pós-graduação em Matemática (IME)
• Departamento: Instituto de Matemática e Estatística - IME (RG)
• País: Brasil
• Palavras-chave em Português: Criptografia; Corpos finitos; Curvas elípticas
• Palavras-chave em Inglês: Cryptography; Finite fields; Elliptic curves
• Área do conhecimento CNPq: MATEMATICA::ALGEBRA
• Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/6976

According to history, the main objective of cryptography was always to provide security in communications, to keep them out of the reach of unauthorized entities. However, with the advent of the era of computing and telecommunications, applications of encryption expanded to offer security, to the ability to: verify if a message was not altered by a third party, to be able to verify if a user is who claims to be, among others. In this sense, the cryptography of elliptic curves, offers certain advantages over their analog systems, referring to the size of the keys used, which results in the storage capacity of the devices with certain memory limitations. Thus, the objective of this work is to offer the necessary mathematical tools for the understanding of how elliptic curves are used in public key cryptography.