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Symmetry in design and decoding of polar-like codes

Publications associées (210)

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Efficient Non-malleable Codes and Key-Derivation for Poly-size Tampering Circuits

Sebastian Faust

Non-malleable codes, defined by Dziembowski, Pietrzak and Wichs (ICS ’10), provide roughly the following guarantee: if a codeword c encoding some message x is tampered to c' = f(c) such that c c, then the tampered message x contained in c reveals no inf ...

Springer2014

Achieving Marton's Region for Broadcast Channels Using Polar Codes

Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli

We present polar coding schemes for the 2-user discrete memoryless broadcast channel (DM-BC) which achieve Marton's region with both common and private messages. This is the best achievable rate region up to date, and it is tight for all classes of 2-user ...

Ieee2014

Integer-forcing Linear Receivers

Michael Christoph Gastpar

Linear receivers are often used to reduce the implementation complexity of multiple-antenna systems. In a traditional linear receiver architecture, the receive antennas are used to separate out the codewords sent by each transmit antenna, which can then be ...

Institute of Electrical and Electronics Engineers2014

Extremal Channels of Gallager's E-0 Under the Basic Polarization Transformations

Mine Alsan

We study the extremality of the binary erasure channel and the binary symmetric channel for Gallager's reliability function E-0 of binary input discrete memoryless channels evaluated under the uniform input distribution from the aspect of channel polarizat ...

Institute of Electrical and Electronics Engineers2014

LLR-based Successive Cancellation List Decoding of Polar Codes

Andreas Peter Burg, Alexios Konstantinos Balatsoukas Stimming

We present an LLR-based implementation of the successive cancellation list (SCL) decoder. To this end, we associate each decoding path with a metric which (i) is a monotone function of the path’s likelihood and (ii) can be computed efﬁciently from the chan ...

Ieee2014

Hardware Architecture for List Successive Cancellation Decoding of Polar Codes

Andreas Peter Burg, Alexios Konstantinos Balatsoukas Stimming

This brief presents a hardware architecture and algorithmic improvements for list successive cancellation (SC) decoding of polar codes. More specifically, we show how to completely avoid copying of the likelihoods, which is algorithmically the most cumbers ...

Institute of Electrical and Electronics Engineers2014

Compute-and-forward for discrete memoryless networks

Michael Christoph Gastpar

Consider a receiver that observes multiple interfering codewords. The compute-and-forward technique makes it possible for the receiver to directly decode linear combinations of the codewords. Previous work has focused on compute-and-forward for linear Gaus ...

2014

Is non-unique decoding necessary?

Vinod Malathidevi Prabhakaran, Shirin Saeedi Bidokhti

In multi-terminal communication systems, signals carrying messages meant for different destinations are often observed together at any given destination receiver. Han and Kobayashi (1981) proposed a receiving strategy which performs a joint unique decoding ...

Institute of Electrical and Electronics Engineers2014

Generalized Codes on Graphs and Applications in Content Distribution

Masoud Alipour Babaei

The contribution of this thesis is twofold. In the first part, we generalize and analyze two classes of error correcting codes: LDPC codes and product codes. We generalize graphical codes by considering checks being arbitrary codes instead of single pariti ...

EPFL2013

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