Date of Award
Master of Science in Computer Science
School of Computer Science and Engineering
This thesis presents and evaluates a new parallel algorithm that computes all single cosets in the double coset M₂₄ P M₂₄, where P is a permutation on n points of a certain cycle structure, and M₂₄ is the Mathieu group related to a Steiner system S(5, 8, 24) as its automorphism group. The purpose of this work is not to replace the existing algorithms, but rather to explore a possibility to extend calculations of single cosets beyond the limits encountered when using currently available methods.
Harris, Elena Yavorska, "A parallel algorithm to solve the mathematical problem "double coset enumeration of S₂₄ over M₂₄"" (2003). Theses Digitization Project. 2432.