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Publications associées (30)

Pipelined Architecture for Soft-Decision Iterative Projection Aggregation Decoding for RM Codes

Alexios Konstantinos Balatsoukas Stimming, Yuqing Ren

The recently proposed recursive projection-aggregation (RPA) decoding algorithm for Reed-Muller codes has received significant attention as it provides near-ML decoding performance at reasonable complexity for short codes. However, its complicated structur ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2023

A Gapless Post-quantum Hash Proof System in the Hamming Metric

Serge Vaudenay, Bénédikt Minh Dang Tran

A hash proof system (HPS) is a form of implicit proof of membership to a language. Out of the very few existing post-quantum HPS, most are based on languages of ciphertexts of code-based or lattice-based cryptosystems and inherently suffer from a gap cause ...

2023

Scalable Metaprogramming in Scala 3

Nicolas Alexander Stucki

A metaprogrammer should be able to reason about the semantics of the generated code. Multi-stage programming introduced an elegant and powerful solution to this problem. It follows a semantically driven approach to code generation, where semantics are full ...

EPFL2023

Symmetry in design and decoding of polar-like codes

Kirill Ivanov

The beginning of 21st century provided us with many answers about how to reach the channel capacity. Polarization and spatial coupling are two techniques for achieving the capacity of binary memoryless symmetric channels under low-complexity decoding algor ...

EPFL2022

Optima Age Over Erasure Channels

Emre Telatar, Elie Najm, Rajai Nasser

Previous works on age of information and erasure channels have dealt with specific models and computed the average age or average peak age for certain settings. In this paper, given a source that produces a letter every T-s seconds and an erasure channel t ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

On the Efficiency of Polar-Like Decoding for Symmetric Codes

Rüdiger Urbanke, Kirill Ivanov

The recently introduced polar codes constitute a breakthrough in coding theory due to their capacity-achieving property. This goes hand in hand with a quasilinear construction, encoding, and successive cancellation list decoding procedures based on the Plo ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

On Codes Decoding a Constant Fraction of Errors on the BSC

Jan Hazla

We strengthen the results from a recent work by the second author, achieving bounds on the weight distribution of binary linear codes that are successful under block-MAP (as well as bit-MAP) decoding on the BEC. We conclude that a linear code that is succe ...

ASSOC COMPUTING MACHINERY2021

Almost impossible E_8 and Leech lattices

Maryna Viazovska

We start this short note by introducing two remarkable mathematical objects: the E8E8 root lattice Lambda8Lambda8 in 8-dimensional Euclidean space and the Leech lattice Lambda24Lambda24 in 24-dimensional space. These two lattices stand out among their lat ...

2021

The Stability of Low-Density Parity-Check Codes and Some of its Consequences

Rüdiger Urbanke, Wei Liu

We study the stability of low-density parity-check codes under blockwise or bitwise maximum a posteriori decoding, where transmission takes place over a binary-input memoryless output-symmetric channel. Our study stems from the consideration of constructin ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021

Non-linear Shubnikov-de Haas oscillations in the self-heating regime

Philip Johannes Walter Moll, Matthias Carsten Putzke, Chunyu Guo, Xiangwei Huang, Jonas De Jesus Diaz Gomez

We demonstrate a non-linear measurement scheme of the Shubnikov-de Haas effect based on Joule self-heating that builds on ideas of the 3 ?-method used in thin films. While the temperature dependence of the resistance, R(T), of clean metals at low temperatu ...

AIP Publishing2021