Space-time block codes from nonassociative division algebras

TL;DR

This paper explores the systematic construction of fully diverse space-time block codes using nonassociative division algebras, expanding the algebraic tools available for designing robust communication systems.

Contribution

It introduces a novel method for constructing space-time block codes from nonassociative algebras, including explicit examples with quaternion division algebras.

Findings

Constructed fully diverse 2x2, 2x4 multiblock, and 4x4 STBCs

Demonstrated the effectiveness of nonassociative quaternion division algebras in code design

Provided a systematic framework for future code development

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.