Department Chair or Program Director
Bachelor of Science
Major or Concentration
Department or Program
We examine zero-knowledge protocols working in non-commutative structures. Specifically, we will discuss the advantages and disadvantages of using invertible elements and elements that have a square root. An adaptation of the zero-knowledge protocol will be presented for working in symmetric groups and monoids of endomorphisms and matrices. Additionally, the security behind these zero-knowledge protocols will be discussed as well as showing different scenarios where invertible elements and elements with squares are vulnerable to attacks.
Stewart, Bailey, "Non-Commutative Zero-Knowledge Protocols" (2018). Student Research Submissions. 252.