Document Type

Thesis

Date of Degree Completion

Summer 2014

Degree Name

Master of Science (MS)

Department

Computational Science

Committee Chair

Dominic Klyve

Second Committee Member

Filip Jagodzinski

Third Committee Member

Aaron Montgomery

Abstract

Cryptography is a necessary tool for secrecy in our increasingly connected and data-driven world. As advances are made in both mathematics and com­puter hardware design, existing cryptosystems must be improved or replaced to maintain privacy of sensitive data. In this paper we propose a novel cryptosystem based upon an algorithmic traversal of a directed graph (digraph). The sys­tem is resistant to the most common attacks on stream-type ciphers that do not use known-plaintext attacks. However, given a length n, the minimum number of vertices a digraph must contain to guarantee a cycle of at least n length is un­known, making the system unsuitable for practical use without further research.

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Cybersecurity Commons

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