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...

Full description

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