Repeated-root constacyclic codes over F2+uF2+vF2+uvF2

In this paper, we give the structures of all (1+u+v)-constacyclic codes of length 2s over F2+uF2+vF2+uvF2, we also obtain the number of codewords, and the dual of each constacyclic code. Among other results, we study the form of such constacyclic codes that are self-dual and give the number of these codes. We end by giving all self-dual constacyclic codes of length 2, 4 and 8.