Space-time block codes from nonassociative division algebras

Abstract

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.Comment: 23 pages; final version; to appear in Advances in Mathematics of Communication