97 citations · 138 across the 6 of their papers we have counts for
8 papers
Reed-Muller Codes Achieve Capacity on Erasure Channels
Shrinivas Kudekar, Santhosh Kumar, Marco Mondelli +3
We introduce a new approach to proving that a sequence of deterministic linear codes achieves capacity on an erasure channel under maximum a posteriori decoding. Rather than relyin…
Comparing the Bit-MAP and Block-MAP Decoding Thresholds of Reed-Muller Codes on BMS Channels
Shrinivas Kudekar, Santhosh Kumar, Marco Mondelli +2
The question whether RM codes are capacity-achieving is a long-standing open problem in coding theory that was recently answered in the affirmative for transmission over erasure ch…
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…
Threshold Saturation for Spatially-Coupled LDPC and LDGM Codes on BMS Channels
Santhosh Kumar, Andrew J. Young, Nicolas Macris +1
Spatially-coupled low-density parity-check (LDPC) codes, which were first introduced as LDPC convolutional codes, have been shown to exhibit excellent performance under low-complex…
A Proof of Threshold Saturation for Spatially-Coupled LDPC Codes on BMS Channels
Santhosh Kumar, Andrew J. Young, Nicolas Macris +1
Low-density parity-check (LDPC) convolutional codes have been shown to exhibit excellent performance under low-complexity belief-propagation decoding [1], [2]. This phenomenon is n…
Throughput Analysis of Primary and Secondary Networks in a Shared IEEE 802.11 System
Santhosh Kumar, Nirmal Shende, Chandra R. Murthy +1
In this paper, we analyze the coexistence of a primary and a secondary (cognitive) network when both networks use the IEEE 802.11 based distributed coordination function for medium…