
QuadraticCurveLifted ReedSolomon Codes
Lifted codes are a class of evaluation codes attracting more attention d...
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Maximum SumRank Distance Codes over Finite Chain Rings
In this work, maximum sumrank distance (MSRD) codes and linearized Reed...
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Twisted ReedSolomon Codes
In this article, we present a new construction of evaluation codes in th...
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Improved Power Decoding of Algebraic Geometry Codes
Power decoding is a partial decoding paradigm for arbitrary algebraic ge...
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Bounds on List Decoding of Linearized ReedSolomon Codes
Linearized ReedSolomon (LRS) codes are sumrank metric codes that fulfi...
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Bounds and Genericity of SumRankMetric Codes
We derive simplified spherepacking and GilbertVarshamov bounds for cod...
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Efficient Decoding of Gabidulin Codes over Galois Rings
This paper presents the first decoding algorithm for Gabidulin codes ove...
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Correctable Erasure Patterns in Product Topologies
Locality enables storage systems to recover failed nodes from small subs...
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Decoding of Interleaved Linearized ReedSolomon Codes with Applications to Network Coding
Recently, MartinezPenas and Kschischang (IEEE Trans. Inf. Theory, 2019)...
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Decoding of Interleaved Alternant Codes
Interleaved ReedSolomon codes admit efficient decoding algorithms which...
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Higher Rates and InformationTheoretic Analysis for the RLWE Channel
The Learning with Errors (LWE) problem is an 𝒩𝒫hard problem that lies t...
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Partial MDS Codes with Regeneration
Partial MDS (PMDS) and sectordisk (SD) codes are classes of erasure cor...
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Bounds and Code Constructions for Partially Defect Memory Cells
This paper considers coding for socalled partially stuck memory cells. ...
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LowRank ParityCheck Codes over Galois Rings
Lowrank paritycheck (LRPC) are rankmetric codes over finite fields, w...
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Fast Decoding of Codes in the Rank, Subspace, and SumRank Metric
We speed up existing decoding algorithms for three code classes in diffe...
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Achievable Rates of Concatenated Codes in DNA Storage under Substitution Errors
In this paper, we study achievable rates of concatenated coding schemes ...
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Generic Decoding in the SumRank Metric
We propose the first nontrivial generic decoding algorithm for codes in...
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LowRank ParityCheck Codes over the Ring of Integers Modulo a Prime Power
We define and analyze lowrank paritycheck (LRPC) codes over extension ...
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Partial MDS Codes with Local Regeneration
Partial MDS (PMDS) and sectordisk (SD) codes are classes of erasure cod...
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On the Gap between Scalar and Vector Solutions of Generalized Combination Networks
We study scalarlinear and vectorlinear solutions to the generalized co...
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Randomized Decoding of Gabidulin Codes Beyond the Unique Decoding Radius
We address the problem of decoding Gabidulin codes beyond their errorco...
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Equivalence and Characterizations of Linear RankMetric Codes Based on Invariants
We show that the sequence of dimensions of the linear spaces, generated ...
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Error Correction for Partially Stuck Memory Cells
We present code constructions for masking u partially stuck memory cells...
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Error Decoding of Locally Repairable and Partial MDS Codes
In this work it is shown that locally repairable codes (LRCs) can be lis...
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Invariants and Inequivalence of Linear RankMetric Codes
We show that the sequence of dimensions of the linear spaces, generated ...
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Decoding HighOrder Interleaved RankMetric Codes
This paper presents an algorithm for decoding homogeneous interleaved co...
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On Error Decoding of Locally Repairable and Partial MDS Codes
We consider error decoding of locally repairable codes (LRC) and partial...
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Interleaving Loidreau's RankMetric Cryptosystem
We propose and analyze an interleaved variant of Loidreau's rankmetric ...
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On Decoding and Applications of Interleaved Goppa Codes
Goppa Codes are a wellknown class of codes with, among others, applicat...
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ReedSolomon Codes over Fields of Characteristic Zero
We study ReedSolomon codes over arbitrary fields, inspired by several r...
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On a RankMetric CodeBased Cryptosystem with Small Key Size
A repair of the FaureLoidreau (FL) publickey codebased cryptosystem i...
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Twisted Gabidulin Codes in the GPT Cryptosystem
In this paper, we investigate twisted Gabidulin codes in the GPT codeba...
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Improved Power Decoding of Interleaved OnePoint Hermitian Codes
We propose a new partial decoding algorithm for hinterleaved onepoint ...
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Structural Properties of Twisted ReedSolomon Codes with Applications to Cryptography
We present a generalisation of Twisted ReedSolomon codes containing a n...
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Repairing the FaureLoidreau PublicKey Cryptosystem
A repair of the FaureLoidreau (FL) publickey codebased cryptosystem i...
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Decoding Interleaved Gabidulin Codes using Alekhnovich's Algorithm
We prove that Alekhnovich's algorithm can be used for row reduction of s...
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LowRank Matrix Recovery using Gabidulin Codes in Characteristic Zero
We present a new approach on lowrank matrix recovery (LRMR) based on Ga...
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Fast Operations on Linearized Polynomials and their Applications in Coding Theory
This paper considers fast algorithms for operations on linearized polyno...
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Sven Puchinger
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