New candidates for multivariate trapdoor functions and new multivariate public key encryption schemes
Abstract: In this thesis we present a new method for building pairs of HFE1 polynomials of high degree, in such a way that the map constructed with this pair is easy to invert. The inversion is accomplished using a low degree polynomial of Hamming weight three, which is derived from a special reduct...
- Autores:
-
Porras Barrera, Jaiberth
- Tipo de recurso:
- Doctoral thesis
- Fecha de publicación:
- 2014
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/21674
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/21674
http://bdigital.unal.edu.co/12643/
- Palabra clave:
- 51 Matemáticas / Mathematics
Polynomials
Low degree polynomial
Polynomial of Hamming
HFE polynomials
Cryptosystem
Polinomios HFE
Polinomios
Polinomio de grado bajo
Polinomios de peso de Hamming
Criptosistema
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional