A construction of non-cyclic normal division algebras

Algebras of Degree Eight 265 on Primary Normal Division Algebras

Cyclic Division Algebras: A Tool for Space-Time Coding

Multiple antennas at both the transmitter and receiver ends of a wireless digital transmission channel may increase both data rate and reliability. Reliable high rate transmission over such channels can only be achieved through Space–Time coding. Rank and determinant code design criteria have been proposed to enhance diversity and coding gain. The special case of full-diversity criterion requir...

Triangulaizability of Algebras Over Division Rings

STBCs using capacity achieving designs from cyclic division algebras

It is known that the Alamouti code is the only complex orthogonal design (COD) which achieves capacity and that too for the case of two transmit and one receive antenna only. Damen et al., gave a design for 2 transmit antennas, which achieves capacity for any number of receive antennas, calling it an information lossless STBC. In this paper, we construct capacity achieving designs using cyclic ...

Space-Time Block Codes from Cyclic Division Algebras: An Introduction

Coding theory addresses the problem of transmitting information accurately across noisy channels. When a sender transmits a signal s, it will suffer some changes before it reaches the receiver. The receiver then faces the problem of recovering the intended signal, given that he actually received some altered signal r. The challenge of coding theory, then, is to design a system which not only gi...