Gray maps over ring F_4+F_4
Minjia Shi · Jisuanji gongcheng yu sheji · 2008
The Gray maps and from F4+ F4 to its subrings F4 and F2+vF2 are defined.The properties of the Gray maps which take self-dual codes over F4+vF4 to self-dual codes over the subrings F4 and F2+vF2 are studied.Lee-weight and Euclidean-weight over ring F4+vF4 are introduced.It proved that the Gray maps φ and ψ are Lee weight preserving maps.The commutative diagram of (F4+vF4)n,(F2+vF2) 2n,(F4)2n and (F2)4n is shown.