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cs.IT2026
Reed--Muller Codes Achieve the Symmetric Capacity on Finite-State Channels
Henry D. Pfister, Navin Kashyap, Jean-Francois Chamberland +1
We study reliable communication over finite-state channels (FSCs) using Reed--Muller (RM) codes. Building on recent symmetry-based analyses for memoryless channels, we show that a…
cs.IT2025
From Symmetry to Capacity: Nested Codes on Binary Memoryless Symmetric Channels
Henry D. Pfister, Galen Reeves
The past decade has seen notable advances in our understanding of structured error-correcting codes, particularly binary Reed-Muller (RM) codes. While initial breakthroughs were fo…