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08/22/2023
Fast Gao-like Decoding of Horizontally Interleaved Linearized Reed-Solomon Codes
Both horizontal interleaving as well as the sum-rank metric are currentl...
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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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06/07/2023
Randomized Decoding of Linearized Reed-Solomon Codes Beyond the Unique Decoding Radius
In this paper we address the problem of decoding linearized Reed-Solomon...
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04/02/2023
Distinguishing and Recovering Generalized Linearized Reed-Solomon Codes
We study the distinguishability of linearized Reed-Solomon (LRS) codes b...
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03/30/2023
On Decoding High-Order Interleaved Sum-Rank-Metric Codes
We consider decoding of vertically homogeneous interleaved sum-rank-metr...
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03/27/2023
Interpolation-Based Decoding of Folded Variants of Linearized and Skew Reed-Solomon Codes
The sum-rank metric is a hybrid between the Hamming metric and the rank ...
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07/04/2022
Fast Kötter-Nielsen-Høholdt Interpolation over Skew Polynomial Rings and its Application in Coding Theory
Skew polynomials are a class of non-commutative polynomials that have se...
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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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02/18/2022
Fast Kötter-Nielsen-Høholdt Interpolation over Skew Polynomial Rings
Skew polynomials are a class of non-commutative polynomials that have se...
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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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01/04/2022
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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10/05/2021
On the Properties of Error Patterns in the Constant Lee Weight Channel
The problem of scalar multiplication applied to vectors is considered in...
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09/30/2021
Efficient Decoding of Folded Linearized Reed-Solomon Codes in the Sum-Rank Metric
Recently, codes in the sum-rank metric attracted attention due to severa...
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05/18/2021
Analysis of Low-Density Parity-Check Codes over Finite Integer Rings for the Lee Channel
We study the performance of low-density parity-check (LDPC) codes over f...
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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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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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04/29/2020
White Paper on Critical and Massive Machine Type Communication Towards 6G
The society as a whole, and many vertical sectors in particular, is beco...
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02/07/2020
Protograph-Based Decoding of LDPC Codes with Hamming Weight Amplifiers
A new protograph-based framework for message passing (MP) decoding of lo...
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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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08/28/2019
Efficient Decoding of Interleaved Low-Rank Parity-Check Codes
An efficient decoding algorithm for horizontally u-interleaved LRPC code...
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01/23/2018
Protograph-based Quasi-Cyclic MDPC Codes for McEliece Cryptosystems
In this paper, ensembles of quasi-cyclic moderate-density parity-check (...
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01/17/2018