Space-time block codes from nonassociative division algebras

Details Space-time block codes from nonassociative division algebras Space-time block codes from nonassociative division algebras

2010-06-11

arxiv.org/abs/1006.2348v4

Adv. Math. Commun. 5 (2011), no. 3, 449-471

Computer Science

Information Theory

23 pages; final version; to appear in Advances in Mathematics of Communications

Scientific paper

10.3934/amc.2011.5.449

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.

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