26 citations · 137 across the 41 of their papers we have counts for
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cs.IT2015★ 12 cited
Reed-Muller Codes Achieve Capacity on Erasure Channels
Santhosh Kumar, Henry D. Pfister
This paper introduces a new approach to proving that a sequence of deterministic linear codes achieves capacity on an erasure channel under maximum a posteriori decoding. Rather th…
cs.IT2015★ 11 cited
Reed-Muller Codes Achieve Capacity on the Binary Erasure Channel under MAP Decoding
Shrinivas Kudekar, Marco Mondelli, Eren Şaşoğlu +1
We show that Reed-Muller codes achieve capacity under maximum a posteriori bit decoding for transmission over the binary erasure channel for all rates . The proof is gen…
cs.IT2015
Unified Scaling of Polar Codes: Error Exponent, Scaling Exponent, Moderate Deviations, and Error Floors
Marco Mondelli, S. Hamed Hassani, Rüdiger Urbanke
Consider the transmission of a polar code of block length and rate over a binary memoryless symmetric channel and let be the block error probability under success…