11 citations · 13 across the 3 of their papers we have counts for
3 papers
cs.IT2017
Soft decision decoding of Reed-Muller codes: recursive lists
Ilya Dumer, Kirill Shabunov
Recursive list decoding is considered for Reed-Muller (RM) codes. The algorithm repeatedly relegates itself to the shorter RM codes by recalculating the posterior probabilities of…
cs.IT2017★ 2 cited
Recursive List Decoding for Reed-Muller Codes
Ilya Dumer, Kirill Shabunov
We consider recursive decoding for Reed-Muller (RM) codes and their subcodes. Two new recursive techniques are described. We analyze asymptotic properties of these algorithms and s…
cs.IT2017★ 11 cited
Recursive constructions and their maximum likelihood decoding
Ilya Dumer, Kirill Shabunov
We consider recursive decoding techniques for RM codes, their subcodes, and newly designed codes. For moderate lengths up to 512, we obtain near-optimum decoding with feasible comp…