Date of Award
2020
Document Type
Thesis
Degree Name
Bachelor of Science
Department
Mathematics
First Advisor
Dr. James A. Davis
Abstract
Difference sets have been studied for decades due to their applications in digital communication, cryptography, algebra, and number theory. More recently, mathematicians have expanded their focus to the field of almost difference sets. Almost difference sets have similar functionalities with difference sets, yet with more potential of finding new constructions. In this paper I will introduce the definitions, properties, and applications of difference sets and almost difference sets, and discuss our effort and results in the exploration of almost difference sets in cyclic and non-cyclic groups.
Recommended Citation
Yutong, Xin, "Almost Difference Sets in 2-Groups" (2020). Honors Theses. 1526.
https://scholarship.richmond.edu/honors-theses/1526