Group codes outperform binary-coset codes on nonbinary symmetric memoryless channels

Typical minimum distances and error exponents are analyzed on the 8-PSK Gaussian channel for two capacityachieving code ensembles with different algebraic structure. It is proved that the typical group code over the cyclic group of order eight achieves both the Gilbert

• Type: Journal
• Year: 2010
• Where: TIT
• Authors: Giacomo Como
• Keywords: Algebraic Structure, Cyclic Group, Education, Error Exponent, TIT 2010