Date of Award
Spring 4-28-2016
Document Type
Honors Project
Degree Name
Bachelor of Science
Department
Mathematics
First Advisor
Helmstutler, Randall
Major or Concentration
Mathematics
Abstract
Given an arbitrary abelian group A, one may form the generalized dihedral group D(A). As D(A) is usually non-abelian, this makes it a possible candidate for use with certain non-commutative key exchange protocols. Specifically, we examine the security of using D(A) with the Ko-Lee key exchange protocol. An appropriate presentation for D(A) is developed alongside methods for computing within the group in the context of the Ko-Lee protocol. Lastly we show that for such groups Ko-Lee is susceptible to a polynomial time attack.
Recommended Citation
Lloyd, Christopher, "The Ko-Lee Key Exchange Protocol with Generalized Dihedral Groups" (2016). Student Research Submissions. 53.
https://scholar.umw.edu/student_research/53