Reed-Muller (RM) codes are among the oldest, simplest and perhaps most ubiquitous family of codes. They are used in many areas of coding theory in both electrical engineering and computer science. Yet, many of their important properties are still under investigation. In this monograph the authors consider some of the most recent developments in RM codes that are having major impacts on the design of modern communication systems. These include weight enumerator and the capacity-achieving properties of RM codes, as well as some of the algorithmic developments. In particular, they discuss...
Reed-Muller (RM) codes are among the oldest, simplest and perhaps most ubiquitous family of codes. They are used in many areas of coding theory in bot...