Revisión de la aritmética de curvas hiperelípticas para la implementación de un criptoprocesador a usarse en un sistema HECC
This article, a result of the research project Design of a cryptoprocessor based on hyperelliptic curves, presents a literature review focused on the theory of hyperelliptic curves and how the points of these curves can be used for group arithmetic on them. We describe the hyperelliptic curves over...
| Autor Principal: | Casas García, Oscar |
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| Formato: | info:eu-repo/semantics/article |
| Idioma: | spa |
| Publicado: |
Universidad de San Buenaventura - Cali
2017
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| Materias: | |
| Acceso en línea: |
1794-192X |
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| Sumario: |
This article, a result of the research project Design of a cryptoprocessor based on hyperelliptic curves, presents a literature review focused on the theory of hyperelliptic curves and how the points of these curves can be used for group arithmetic on them. We describe the hyperelliptic curves over real numbers, present how a suitable abelian group for computations with hy-perelliptic curves is formed, and the associated group operation. Finally we describe hyperel-liptic curves genre 2 in characteristic 2 and the optimization of the corresponding arithmetic for such curves. The review is focused on finding the most efficient arithmetic for the imple-mentation of a HECC system in hardware, i.e. the one that presents the least amount of opera-tions and the smallest base finite field. |
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