- Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 39 Issue: 2
- Difference Sets from Quadratic Residues
Difference Sets from Quadratic Residues
Authors : Emek Demirci Akarsu, Yasin Yimaz
Pages : 235-240
View : 19 | Download : 52
Publication Date : 2023-08-31
Article Type : Research Article
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 (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