Bound Volume Number
4
Degree 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.
Recommended Citation
Valentijn, Ashley, "Goppa Codes and Their Use in the McEliece Cryptosystems" (2015). Renée Crown University Honors Thesis Projects - All. 845.
https://surface.syr.edu/honors_capstone/845
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
