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20112026
most citedBounds on List Decoding of Rank-Metric Codes

67 citations · 262 across the 80 of their papers we have counts for

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cs.IT2026

On the Average List Size of VT Codes under Two Insertions or Two Deletions

Anisha Banerjee, Roni Con, Antonia Wachter-Zeh +1

Levenshtein's classical theorem shows that any code that can uniquely decode from \(t\) deletions can also uniquely decode from \(t\) insertions. This symmetry, however, does not g…

cs.IT2026

SynDe: Syndrome-guided Decoding of Raw Nanopore Reads

Anisha Banerjee, Roman Sokolovskii, Thomas Heinis +3

Nanopore sequencing technology remains highly error-prone, making efficient error correction essential in DNA-based data storage. Prior work addressed high error rates using convol…

cs.IT2025

Sequence Reconstruction over Coloring Channels for Protein Identification

Jessica Bariffi, Antonia Wachter-Zeh, Eitan Yaakobi

This paper studies the sequence reconstruction problem for a channel inspired by protein identification. We introduce a coloring channel, where a sequence is transmitted through a…

cs.IT2025

Decoding Insertions/Deletions via List Recovery

Anisha Banerjee, Roni Con, Antonia Wachter-Zeh +1

In this work, we consider the problem of efficient decoding of codes from insertions and deletions. Most of the known efficient codes are codes with synchronization strings which a…

cs.IT2025

Correcting Multiple Substitutions in Nanopore-Sequencing Reads

Anisha Banerjee, Yonatan Yehezkeally, Antonia Wachter-Zeh +1

Despite their significant advantages over competing technologies, nanopore sequencers are plagued by high error rates, due to physical characteristics of the nanopore and inherent…

cs.IT2025

CAT and DOG: Improved Codes for Private Distributed Matrix Multiplication

Christoph Hofmeister, Rawad Bitar, Antonia Wachter-Zeh

We present novel constructions of polynomial codes for private distributed matrix multiplication (PDMM/SDMM) using outer product partitioning (OPP). We extend the degree table fram…

cs.IT2024

Sequential Decoding of Multiple Traces Over the Syndrome Trellis for Synchronization Errors

Anisha Banerjee, Lorenz Welter, Alexandre Graell i Amat +2

Standard decoding approaches for convolutional codes, such as the Viterbi and BCJR algorithms, entail significant complexity when correcting synchronization errors. The situation w…

cs.IT2024

Scalable and Reliable Over-the-Air Federated Edge Learning

Maximilian Egger, Christoph Hofmeister, Cem Kaya +2

Federated edge learning (FEEL) has emerged as a core paradigm for large-scale optimization. However, FEEL still suffers from a communication bottleneck due to the transmission of h…

cs.IT2024

Capacity-Maximizing Input Symbol Selection for Discrete Memoryless Channels

Maximilian Egger, Rawad Bitar, Antonia Wachter-Zeh +2

Motivated by communication systems with constrained complexity, we consider the problem of input symbol selection for discrete memoryless channels (DMCs). Given a DMC, the goal is…

cs.IT2024★ 1 cited

An End-to-End Coding Scheme for DNA-Based Data Storage With Nanopore-Sequenced Reads

Lorenz Welter, Roman Sokolovskii, Thomas Heinis +3

We consider error-correcting coding for deoxyribonucleic acid (DNA)-based storage using nanopore sequencing. We model the DNA storage channel as a sampling noise channel where the…

cs.IT2024★ 22 cited

Coding for Composite DNA to Correct Substitutions, Strand Losses, and Deletions

Frederik Walter, Omer Sabary, Antonia Wachter-Zeh +1

Composite DNA is a recent method to increase the base alphabet size in DNA-based data storage.This paper models synthesizing and sequencing of composite DNA and introduces coding t…

cs.IT2024

Maximal-Capacity Discrete Memoryless Channel Identification

Maximilian Egger, Rawad Bitar, Antonia Wachter-Zeh +2

The problem of identifying the channel with the highest capacity among several discrete memoryless channels (DMCs) is considered. The problem is cast as a pure-exploration multi-ar…

cs.IT2024

Correcting a Single Deletion in Reads from a Nanopore Sequencer

Anisha Banerjee, Yonatan Yehezkeally, Antonia Wachter-Zeh +1

Owing to its several merits over other DNA sequencing technologies, nanopore sequencers hold an immense potential to revolutionize the efficiency of DNA storage systems. However, t…

cs.IT2023

Sparse and Private Distributed Matrix Multiplication with Straggler Tolerance

Maximilian Egger, Marvin Xhemrishi, Antonia Wachter-Zeh +1

This paper considers the problem of outsourcing the multiplication of two private and sparse matrices to untrusted workers. Secret sharing schemes can be used to tolerate straggler…

cs.IT2023

Randomized Decoding of Linearized Reed-Solomon Codes Beyond the Unique Decoding Radius

Thomas Jerkovits, Hannes Bartz, Antonia Wachter-Zeh

In this paper we address the problem of decoding linearized Reed-Solomon (LRS) codes beyond their unique decoding radius. We analyze the complexity in order to evaluate if the cons…

cs.IT2023★ 15 cited

Error-Correcting Codes for Nanopore Sequencing

Anisha Banerjee, Yonatan Yehezkeally, Antonia Wachter-Zeh +1

Nanopore sequencing, superior to other sequencing technologies for DNA storage in multiple aspects, has recently attracted considerable attention. Its high error rates, however, de…

cs.IT2023★ 1 cited

Geometrical Properties of Balls in Sum-Rank Metric

Cornelia Ott, Hedongliang Liu, Antonia Wachter-Zeh

The sum-rank metric arises as an algebraic approach for coding in MIMO block-fading channels and multishot network coding. Codes designed in the sum-rank metric have raised interes…

cs.IT2023

Codes Correcting Burst and Arbitrary Erasures for Reliable and Low-Latency Communication

Serge Kas Hanna, Zhiyuan Tan, Wen Xu +1

Motivated by modern network communication applications which require low latency, we study codes that correct erasures with low decoding delay. We provide a simple explicit constru…

cs.IT2022★ 1 cited

Secure Over-the-Air Computation using Zero-Forced Artificial Noise

Luis Maßny, Antonia Wachter-Zeh

Over-the-air computation has the potential to increase the communication-efficiency of data-dependent distributed wireless systems, but is vulnerable to eavesdropping. We consider…

cs.IT2022★ 1 cited

Bounds on Mixed Codes with Finite Alphabets

Yonatan Yehezkeally, Haider Al Kim, Sven Puchinger +1

Mixed codes, which are error-correcting codes in the Cartesian product of different-sized spaces, model degrading storage systems well. While such codes have previously been studie…

cs.IT2022

Nested Gradient Codes for Straggler Mitigation in Distributed Machine Learning

Luis Maßny, Christoph Hofmeister, Maximilian Egger +2

We consider distributed learning in the presence of slow and unresponsive worker nodes, referred to as stragglers. In order to mitigate the effect of stragglers, gradient coding re…

cs.IT2022

Index-Based Concatenated Codes for the Multi-Draw DNA Storage Channel

Lorenz Welter, Issam Maarouf, Andreas Lenz +3

We consider error-correcting coding for DNA-based storage. We model the DNA storage channel as a multi-draw IDS channel where the input data is chunked into short DNA strands,…

cs.IT2022

Linearized Reed-Solomon Codes with Support-Constrained Generator Matrix and Applications in Multi-Source Network Coding

Hedongliang Liu, Hengjia Wei, Antonia Wachter-Zeh +1

Linearized Reed-Solomon (LRS) codes are evaluation codes based on skew polynomials. They achieve the Singleton bound in the sum-rank metric and therefore are known as maximum sum-r…

cs.IT2022

Covering Properties of Sum-Rank Metric Codes

Cornelia Ott, Hedongliang Liu, Antonia Wachter-Zeh

The sum-rank metric can be seen as a generalization of both, the rank and the Hamming metric. It is well known that sum-rank metric codes outperform rank metric codes in terms of t…