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A new class of full diversity space-time codes is proposed that leads to a significantly smaller Peak-to-Mean Envelope Power Ratio (PMEPR) compared to the recently invented Diagonal Algebraic Space-Time (DAST) and Threaded Algebraic Space-Time (TAST) codes. Moreover, the proposed "Low PMEPR Space-Time" (LPST) codes exhibit identical performance and decoding complexity compared to the TAST codes. Additionally, unlike the TAST codes, the LPST codes meet an upper bound known as the Singleton bounddoi:10.1109/glocom.2003.1258577 dblp:conf/globecom/DayalV03 fatcat:hbqvntkimrhf3oxukjntvc4ed4