Difference Sets from Quadratic Residues

Authors : Emek DEMİRCİ AKARSU, Yasin YIMAZ

Pages : 235-240

View : 24 | Download : 60

Publication Date : 2023-08-31

Article Type : Research Paper

Abstract :Difference sets are significant algebraic objects that intersect a collection of sub-areas of mathematics, such as field theory, combinatorics, number theory, and coding theory. They also have lots of application areas in other fields. The essential part of the subject is how to construct difference sets. This article proposes a new method, i.e., the Quadratic Residue Classes Method insert ignore into journalissuearticles values(QRCM);, which produces difference sets by quadratic residue classes, and applies it to fields. The results show that QRCM successfully determines whether the quadratic residue class for a field is a difference set.
Keywords : Fark Kümeleri, İkinci dereceden rezidüler, QRCM Algoritması