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Improved decoding of second-order Reed-Muller codes

Publications associées (64)

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Single-server Multi-user Private Information Retrieval with Side Information

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In the problem of private information retrieval with side information, a single user wants to recover one of the K independent messages which are stored at one or multiple servers. The user initially has a subset of messages as side information. The goal o ...

2018

From Polar to Reed-Muller Codes

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Considerations for Rank-based Cryptosystems

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Cryptosystems based on rank metric codes have been considered as an alternative to McEliece cryptosystems due to the relative difficulty of solving the rank syndrome decoding problem. Generic attacks have recently seen several improvements, notably in the ...

Ieee2016

Optimization of LPN Solving Algorithms

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In this article we focus on constructing an algorithm that automatizes the generation of LPN solving algorithms from the considered parameters. When searching for an algorithm to solve an LPN instance, we make use of the existing techniques and optimize th ...

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Re-proving Channel Polarization Theorems

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The general subject considered in this thesis is a recently discovered coding technique, polar coding, which is used to construct a class of error correction codes with unique properties. In his ground-breaking work, Arikan proved that this class of codes, ...

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Institute of Electrical and Electronics Engineers2014

From Polar to Reed-Muller Codes: a Technique to Improve the Finite-Length Performance

Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli

We explore the relationship between polar and RM codes and we describe a coding scheme which improves upon the performance of the standard polar code at practical block lengths. Our starting point is the experimental observation that RM codes have a smalle ...

Ieee2014

From Polar to Reed-Muller Codes: a Technique to Improve the Finite-Length Performance

Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli

2014

From Polar to Reed-Muller Codes: A Technique to Improve the Finite-Length Performance

Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli

Ieee-Inst Electrical Electronics Engineers Inc2014