A cryptosystem based on algebraic surfaces

dc.rights.license	CC-BY-NC-ND
dc.contributor.advisor	Karemaker, V.Z.
dc.contributor.author	Ruiten, E.J.P. van
dc.date.accessioned	2021-09-07T18:02:07Z
dc.date.available	2021-09-07T18:02:07Z
dc.date.issued	2021
dc.identifier.uri	https://studenttheses.uu.nl/handle/20.500.12932/1141
dc.description.abstract	This thesis discusses a cryptosystem based on algebraic surfaces, which was devised by Akiyama and Goto. At first the basics of cryptography, the P vs. NP problem and algebraic surfaces are discussed. Then the workings of the original version of the cryptosystem are explained, using a toy example to illustrate it. After that, an attack on the cryptosystem is explained, followed by a discussion of ways to resist the attack. The final part of this thesis explains the workings of an improved version of the cryptosystem, that is resistant to the attack. This explanation is also illustrated by a toy example.
dc.description.sponsorship	Utrecht University
dc.format.extent	381423
dc.format.mimetype	application/pdf
dc.language.iso	en
dc.title	A cryptosystem based on algebraic surfaces
dc.type.content	Master Thesis
dc.rights.accessrights	Open Access
dc.subject.keywords	cryptosystem; algebraic surfaces; algebraic surface cryptosystem; sections; algebraic curves; P vs. NP;
dc.subject.courseuu	Wiskunde