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Senior Projects Spring 2016

Theses/Dissertations

Group theory

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Public Key Cryptography With The Brin-Thompson Group 2v, Cyril Xavier Kuhns Jan 2016

Public Key Cryptography With The Brin-Thompson Group 2v, Cyril Xavier Kuhns

Senior Projects Spring 2016

The Brin-Thompson group 2V is a simple, finitely presented group of functions with solvable word problem and unsolvable torsion problem, which makes it a promising platform group for the Anshel-Anshel-Goldfeld key agreement protocol. The primary results of this project are an implementation of 2V and the AAG protocol in Java, which is shown to be susceptible to the heuristic length based attack.