MacWilliams identities of linear codes over F_2+uF_2+…+u~kF_2
Shixin Zhu · 2010
A new Gray map from(F2+uF2+…+ukF2)n to F(k+1)n2 and Lee weight distribution of linear codes over F2+uF2+…+ukF2 was defined.The MacWilliams identities for different weight enumerators of the linear codes and their dual codes over F2+uF2+…+ukF2 were given by employing the relationship between binary linear codes and their dual codes and new Gray map.