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07/12/2023
Fast Decoding of Lifted Interleaved Linearized Reed-Solomon Codes for Multishot Network Coding
Martínez-Peñas and Kschischang (IEEE Trans. Inf. Theory, 2019) proposed ...
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12/19/2022
Bounds on Mixed Codes with Finite Alphabets
Mixed codes, which are error-correcting codes in the Cartesian product o...
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03/23/2022
Rank-Metric Codes and Their Applications
The rank metric measures the distance between two matrices by the rank o...
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02/15/2022
Coding and Bounds for Partially Defective Memory Cells
This paper considers coding for so-called partially stuck (defect) memor...
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02/14/2022
Error-Erasure Decoding of Linearized Reed-Solomon Codes in the Sum-Rank Metric
Codes in the sum-rank metric have various applications in error control ...
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01/27/2022
List Decoding of 2-Interleaved Binary Alternant Codes
This paper is concerned with list decoding of 2-interleaved binary alter...
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01/04/2022
Fast Decoding of Interleaved Linearized Reed-Solomon Codes and Variants
We construct s-interleaved linearized Reed-Solomon (ILRS) codes and vari...
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12/04/2021
Analysis of Communication Channels Related to Physical Unclonable Functions
Cryptographic algorithms rely on the secrecy of their corresponding keys...
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09/29/2021
Quadratic-Curve-Lifted Reed-Solomon Codes
Lifted codes are a class of evaluation codes attracting more attention d...
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09/20/2021
Maximum Sum-Rank Distance Codes over Finite Chain Rings
In this work, maximum sum-rank distance (MSRD) codes and linearized Reed...
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07/14/2021
Twisted Reed-Solomon Codes
In this article, we present a new construction of evaluation codes in th...
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05/01/2021
Improved Power Decoding of Algebraic Geometry Codes
Power decoding is a partial decoding paradigm for arbitrary algebraic ge...
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02/05/2021
Bounds on List Decoding of Linearized Reed-Solomon Codes
Linearized Reed-Solomon (LRS) codes are sum-rank metric codes that fulfi...
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02/03/2021
Bounds and Genericity of Sum-Rank-Metric Codes
We derive simplified sphere-packing and Gilbert-Varshamov bounds for cod...
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02/03/2021
Efficient Decoding of Gabidulin Codes over Galois Rings
This paper presents the first decoding algorithm for Gabidulin codes ove...
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01/25/2021
Correctable Erasure Patterns in Product Topologies
Locality enables storage systems to recover failed nodes from small subs...
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01/14/2021
Decoding of Interleaved Linearized Reed-Solomon Codes with Applications to Network Coding
Recently, Martinez-Penas and Kschischang (IEEE Trans. Inf. Theory, 2019)...
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10/14/2020
Decoding of Interleaved Alternant Codes
Interleaved Reed-Solomon codes admit efficient decoding algorithms which...
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09/18/2020
Higher Rates and Information-Theoretic Analysis for the RLWE Channel
The Learning with Errors (LWE) problem is an 𝒩𝒫-hard problem that lies t...
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09/15/2020
Partial MDS Codes with Regeneration
Partial MDS (PMDS) and sector-disk (SD) codes are classes of erasure cor...
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09/14/2020
Bounds and Code Constructions for Partially Defect Memory Cells
This paper considers coding for so-called partially stuck memory cells. ...
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06/18/2020
Low-Rank Parity-Check Codes over Galois Rings
Low-rank parity-check (LRPC) are rank-metric codes over finite fields, w...
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05/20/2020
Fast Decoding of Codes in the Rank, Subspace, and Sum-Rank Metric
We speed up existing decoding algorithms for three code classes in diffe...
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04/30/2020
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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01/14/2020
Generic Decoding in the Sum-Rank Metric
We propose the first non-trivial generic decoding algorithm for codes in...
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01/14/2020
Low-Rank Parity-Check Codes over the Ring of Integers Modulo a Prime Power
We define and analyze low-rank parity-check (LRPC) codes over extension ...
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01/14/2020
Partial MDS Codes with Local Regeneration
Partial MDS (PMDS) and sector-disk (SD) codes are classes of erasure cod...
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01/13/2020
On the Gap between Scalar and Vector Solutions of Generalized Combination Networks
We study scalar-linear and vector-linear solutions to the generalized co...
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11/29/2019
Randomized Decoding of Gabidulin Codes Beyond the Unique Decoding Radius
We address the problem of decoding Gabidulin codes beyond their error-co...
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11/29/2019
Equivalence and Characterizations of Linear Rank-Metric Codes Based on Invariants
We show that the sequence of dimensions of the linear spaces, generated ...
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11/07/2019
Error Correction for Partially Stuck Memory Cells
We present code constructions for masking u partially stuck memory cells...
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09/23/2019
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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05/27/2019
Invariants and Inequivalence of Linear Rank-Metric Codes
We show that the sequence of dimensions of the linear spaces, generated ...
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04/18/2019
Decoding High-Order Interleaved Rank-Metric Codes
This paper presents an algorithm for decoding homogeneous interleaved co...
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04/11/2019
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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01/29/2019
Interleaving Loidreau's Rank-Metric Cryptosystem
We propose and analyze an interleaved variant of Loidreau's rank-metric ...
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01/29/2019
On Decoding and Applications of Interleaved Goppa Codes
Goppa Codes are a well-known class of codes with, among others, applicat...
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01/21/2019
Reed-Solomon Codes over Fields of Characteristic Zero
We study Reed-Solomon codes over arbitrary fields, inspired by several r...
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12/12/2018
On a Rank-Metric Code-Based Cryptosystem with Small Key Size
A repair of the Faure-Loidreau (FL) public-key code-based cryptosystem i...
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06/26/2018
Twisted Gabidulin Codes in the GPT Cryptosystem
In this paper, we investigate twisted Gabidulin codes in the GPT code-ba...
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01/22/2018
Improved Power Decoding of Interleaved One-Point Hermitian Codes
We propose a new partial decoding algorithm for h-interleaved one-point ...
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01/22/2018
Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography
We present a generalisation of Twisted Reed-Solomon codes containing a n...
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01/11/2018
Repairing the Faure-Loidreau Public-Key Cryptosystem
A repair of the Faure-Loidreau (FL) public-key code-based cryptosystem i...
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04/20/2016
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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04/15/2016
Low-Rank Matrix Recovery using Gabidulin Codes in Characteristic Zero
We present a new approach on low-rank matrix recovery (LRMR) based on Ga...
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12/21/2015