000087388 001__ 87388 000087388 005__ 20200120113924.0 000087388 037__ $$aTAZ-TFG-2019-3124 000087388 041__ $$aeng 000087388 1001_ $$aCentellas Nadal, Marta 000087388 24200 $$aGröbner bases and applications to multivariable cryptographic systems (MPK) 000087388 24500 $$aBases de Gröbner y aplicaciones a sistemas criptográficos multivariables 000087388 260__ $$aZaragoza$$bUniversidad de Zaragoza$$c2019 000087388 506__ $$aby-nc-sa$$bCreative Commons$$c3.0$$uhttp://creativecommons.org/licenses/by-nc-sa/3.0/ 000087388 520__ $$aPublic key cryptography is an asymmetric scheme that uses a pair of keys for encryption: a public key, which encrypts data, and a corresponding private, or secret key for decryption.<br />The most widely deployed public key cryptosystem nowadays is without any doubt the RSA cryptosystem.<br />But, despite not being able to develop efficient algorithms that break the RSA encryption system, a new advance threatens to destroy it: It is quantum computers.<br />For this reason we study the Matsumoto-Imai Scheme A. It is a multivariate public-key cryptosystem, and one of the families of cryptosystems that could potentially resist future quantum computers. One possible attack comes from from computing a Gröbner basis.<br /><br /> 000087388 521__ $$aGraduado en Matemáticas 000087388 540__ $$aDerechos regulados por licencia Creative Commons 000087388 700__ $$aCogolludo Agustín, José Ignacio$$edir. 000087388 7102_ $$aUniversidad de Zaragoza$$bMatemáticas$$cGeometría y Topología 000087388 8560_ $$f568219@celes.unizar.es 000087388 8564_ $$s13322723$$uhttps://zaguan.unizar.es/record/87388/files/TAZ-TFG-2019-3124.pdf$$yMemoria (eng) 000087388 909CO $$ooai:zaguan.unizar.es:87388$$pdriver$$ptrabajos-fin-grado 000087388 950__ $$a 000087388 951__ $$adeposita:2020-01-20 000087388 980__ $$aTAZ$$bTFG$$cCIEN 000087388 999__ $$a20190913113216.CREATION_DATE