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Division rings in coding theory Svatoňová, Petra ; Žemlička, Jan (advisor) ; Holub, Štěpán (referee) Wireless communication using multiple transmit and receive antennas is very effective when suitable space-time codes are used. Reliability of codes for com- munication can be assessed using various criteria. One of the basic is the Rank Criterion. In the presented work, we focus on this criterion and using division algebras we construct space-time block codes that satisfy it. First, we introduce the general construction. Then we apply it to create specific examples of division algebras and respective codes. At the end, we follow up with the Coding Gain Criterion - we present the Golden Code and using division algebras we outline general construction of perfect space-time codes. Detailed record

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