- Journal of Universal Mathematics
- Vol: 5 Issue: 1
- PERFECT CODES OVER HURWITZ INTEGERS INDUCED BY CIRCULANT GRAPHS
PERFECT CODES OVER HURWITZ INTEGERS INDUCED BY CIRCULANT GRAPHS
Authors : Murat Güzeltepe, Gökhan Güner
Pages : 24-35
Doi:10.33773/jum.985160
View : 13 | Download : 5
Publication Date : 2022-03-01
Article Type : Research
Abstract :In this paper, a new family of t−error correcting perfect codes over Hurwitz integers is presented. To obtain these perfect codes, the perfect t−dominating sets over the circulant graphs are used. The codewords of such perfect codes are generated by the elements of a subgroup of the considered group.Keywords : Circulant graphs, Hurwitz integers, perfect codes, quadrature amplitude modulation (QAM) constellations