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Title: Achieving Capacity on Non-Binary Channels with Generalized Reed–Muller Codes
Recently, the authors showed that Reed–Muller (RM) codes achieve capacity on binary memoryless symmetric (BMS) channels with respect to bit error rate. This paper extends that work by showing that RM codes defined on non-binary fields, known as generalized RM codes, achieve capacity on sufficiently symmetric non-binary channels with respect to symbol error rate. The new proof also simplifies the previous approach (for BMS channels) in a variety of ways that may be of independent interest.  more » « less
Award ID(s):
2106213
NSF-PAR ID:
10435492
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Proceedings
ISSN:
2157-8095
Page Range / eLocation ID:
2057-2062
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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