Publications associées à Generalized Codes on Graphs and Applications in Content Distribution

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Finite state encoders and decoders for vector signaling codes

Mohammad Amin Shokrollahi, Harm Cronie

In a chip-to-chip communication system and apparatus, a set of physical signals to be conveyed over a communication bus is provided, and mapped to a codeword of a vector signaling code using the physical signals and a state information, wherein a codeword ...

2014

Windowed Decoding of Spatially Coupled Codes

Rüdiger Urbanke

Spatially coupled codes have been of interest recently owing to their superior performance over memoryless binary-input channels. The performance is good both asymptotically, since the belief propagation thresholds approach the Shannon limit, as well as fo ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Polar Codes For Broadcast Channels

Michael Christoph Gastpar, Emmanuel Abbé, Naveen Goela

Building on polar code constructions proposed by the authors for deterministic broadcast channels, two theorems are introduced in the present paper for noisy two-user broadcast channels. The theorems establish polar code constructions for two important ...

2013

Secure Network Coding with Erasures and Feedback

Christina Fragouli, Suhas Diggavi, László Czap, Vinod Malathidevi Prabhakaran

Secure network coding assumes that the underlying network links are lossless, thus it can be applied over lossy networks after channel error correction. Yet it is well known that channel losses, such as packet erasures, can be constructively used for secre ...

2013

Iterative Coding for Network Coding

Rüdiger Urbanke, Andrea Montanari

We consider communication over a noisy network under randomized linear network coding. Possible error mechanisms include node-or link-failures, Byzantine behavior of nodes, or an overestimate of the network min-cut. Building on the work of Kotter and Kschi ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Spatially Coupled Ensembles Universally Achieve Capacity Under Belief Propagation

Rüdiger Urbanke, Shrinivas Kudekar

We investigate spatially coupled code ensembles. For transmission over the binary erasure channel, it was recently shown that spatial coupling increases the belief propagation threshold of the ensemble to essentially the maximum a priori threshold of the u ...

Institute of Electrical and Electronics Engineers2013

Growth Codes: Intermediate Performance Analysis and Application to Video

Pascal Frossard, Nikolaos Thomos, Rethnakaran Pulikkoonattu

Growth codes are a subclass of Rateless codes that have found interesting applications in data dissemination problems. Compared to other Rateless and conventional channel codes, Growth codes show improved intermediate performance which is particularly usef ...

Institute of Electrical and Electronics Engineers2013

Rate-Dependent Analysis of the Asymptotic Behavior of Channel Polarization

Rüdiger Urbanke, Seyed Hamed Hassani

We consider the asymptotic behavior of the polarization process in the large block-length regime when transmission takes place over a binary-input memoryless symmetric channel W. In particular, we study the asymptotics of the cumulative distribution, P(Z(n ...

Ieee-Inst Electrical Electronics Engineers Inc2013

New Bounds for Random Constraint Satisfaction Problems via Spatial Coupling

Rüdiger Urbanke, Nicolas Macris, Seyed Hamed Hassani

This paper is about a novel technique called spatial coupling and its application in the analysis of random constraint satisfaction problems (CSP). Spatial Coupling was recently invented in the area of error correcting codes where it has resulted in effici ...

2013

Generalized Codes on Graphs and Applications in Content Distribution

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Finite state encoders and decoders for vector signaling codes

Windowed Decoding of Spatially Coupled Codes

Polar Codes For Broadcast Channels

Secure Network Coding with Erasures and Feedback

Iterative Coding for Network Coding

Polarization and Spatial Coupling

Spatially Coupled Ensembles Universally Achieve Capacity Under Belief Propagation

Growth Codes: Intermediate Performance Analysis and Application to Video

Rate-Dependent Analysis of the Asymptotic Behavior of Channel Polarization

New Bounds for Random Constraint Satisfaction Problems via Spatial Coupling

Finite state encoders and decoders for vector signaling codes

Polar Codes For Broadcast Channels

Iterative Coding for Network Coding

Secure Network Coding with Erasures and Feedback

Windowed Decoding of Spatially Coupled Codes

Polarization and Spatial Coupling

Spatially Coupled Ensembles Universally Achieve Capacity Under Belief Propagation

Growth Codes: Intermediate Performance Analysis and Application to Video

Rate-Dependent Analysis of the Asymptotic Behavior of Channel Polarization

New Bounds for Random Constraint Satisfaction Problems via Spatial Coupling