Bound Volume Number

4

Document Type

Honors Capstone Project

Date of Submission

Spring 5-1-2015

Capstone Advisor

Professor Steven Diaz

Honors Reader

Professor Claudia Miller

Capstone Major

Mathematics

Capstone College

Arts and Science

Audio/Visual Component

no

Keywords

Goppa code, cryptosystem, McEliece Cryptosystem, security analysis

Capstone Prize Winner

no

Won Capstone Funding

no

Honors Categories

Sciences and Engineering

Subject Categories

Applied Mathematics

Abstract

We explore the topic of Goppa codes and how they are used in the McEliece Cryptosystem. We first cover basic terminology that is needed to understand the rest of the paper. Then we explore the definition and limitations of a Goppa code along with how such codes can be used in a general cryptosystem. Then we go in depth on the McEliece Cryptosystem in particular and explain how the security of this method works.

Creative Commons License

Creative Commons Attribution 3.0 License
This work is licensed under a Creative Commons Attribution 3.0 License.

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