Self-dual codes over F2+uF2+vF2+uvF2

The focus in this work is on self-dual codes over the ring F2+uF2+vF2+uvF2. Type I and Type II codes over F2+uF2+vF2+uvF2 are defined and some of the techniques used in the literature are applied to get some theoretical results about self-dual codes on F2+uF2+vF2+uvF2 and their binary images. In particular some extremal and optimal binary codes of Type I and Type II including the extended Golay code are obtained as the Gray images of codes over F2+uF2+vF2+uvF2.