PERFECT CODES OVER HURWITZ INTEGERS INDUCED BY CIRCULANT GRAPHS

Authors : Murat GÜZELTEPE, Gökhan GÜNER

Pages : 24-35

Doi:10.33773/jum.985160

View : 15 | Download : 8

Publication Date : 2022-03-01

Article Type : Research Paper

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