Gray images of the linear codes and their dual codes over F_4+uF_4
Hualu Liu · Journal of Communications · 2012
The linear codes over ring F4+uF4 and field F4 were studied.By using the Gray weight wG,the Gray distance dG of codes C over F4+uF4,and the Gray map φ from (F4+uF4)n to F42n,the Gray image φ(C)of linear codes C over F4+uF4 were linear codes over F4 as well,dH(φ(C)) dG(C),and the proposition that linear codes φ(C) were the dual codes of φ(C) were showed.Furthermore,the Gray image φ(C) of cyclic codes C over F4+uF4 ere the 2-quasi cyclic codes over F4.