پديدآورندگان :
Eslami A anese_eslami@yahoo.com Department of Mathematics, Shahrood University of Technology, Shahrood, Iran
چكيده فارسي :
Perfect code, since it’s appearance has had particular importance in coding theory. Hence, we decided to examine these codes. In this paper, we study problem of existence of perfect codes in Zn under d1 metric. That means we musttile Zn by Sx(r+,r−). NontrivialperfectcodeinZ1 existsforevery r, Z2 admits a perfect code for r+,r− ̸= 0 and for every n ≥ 3, there are no tiling of Zn by Sx(r+,r−).
