  Associative division algebras are a rich source of fully diverse space-time
block codes (STBCs). In this paper the systematic construction of fully diverse
STBCs from nonassociative algebras is discussed. As examples, families of fully
diverse $2\times 2$, $2\times 4$ multiblock and $4\x 4$ STBCs are designed,
employing nonassociative quaternion division algebras.
