181 citations · 245 across the 9 of their papers we have counts for
9 papers
Rate-Equivocation Optimal Spatially Coupled LDPC Codes for the BEC Wiretap Channel
Vishwambhar Rathi, Ruediger Urbanke, Mattias Andersson +1
We consider transmission over a wiretap channel where both the main channel and the wiretapper's channel are Binary Erasure Channels (BEC). We use convolutional LDPC ensembles base…
Performance Analysis and Design of Two Edge Type LDPC Codes for the BEC Wiretap Channel
Vishwambhar Rathi, Mattias Andersson, Ragnar Thobaben +2
We consider transmission over a wiretap channel where both the main channel and the wiretapper's channel are Binary Erasure Channels (BEC). We propose a code construction method us…
Nested Polar Codes for Wiretap and Relay Channels
Mattias Andersson, Vishwambhar Rathi, Ragnar Thobaben +2
We show that polar codes asymptotically achieve the whole capacity-equivocation region for the wiretap channel when the wiretapper's channel is degraded with respect to the main ch…
Bounds on Thresholds Related to Maximum Satisfiability of Regular Random Formulas
Vishwambhar Rathi, Erik Aurell, Lars Rasmussen +1
We consider the regular balanced model of formula generation in conjunctive normal form (CNF) introduced by Boufkhad, Dubois, Interian, and Selman. We say that a formula is -sat…
Bounds on Threshold of Regular Random -SAT
Vishwambhar Rathi, Erik Aurell, Lars Rasmussen +1
We consider the regular model of formula generation in conjunctive normal form (CNF) introduced by Boufkhad et. al. We derive an upper bound on the satisfiability threshold and NAE…
Degree Optimization and Stability Condition for the Min-Sum Decoder
Kapil Bhattad, Vishwambhar Rathi, Ruediger Urbanke
The min-sum (MS) algorithm is arguably the second most fundamental algorithm in the realm of message passing due to its optimality (for a tree code) with respect to the {\em block…