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09/12/2022
On MDS Condition and Erased Lines Recovery of Generalized Expanded-Blaum-Roth Codes and Generalized Blaum-Roth Codes
Generalized Expanded-Blaum-Roth (GEBR) codes [1] are designed for large-...
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10/10/2021
A Generalization of Array Codes with Local Properties and Efficient Encoding/Decoding
A maximum distance separable (MDS) array code is composed of m× (k+r) ar...
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08/12/2021
An efficient implementation of the Shamir secret sharing scheme
The Shamir secret sharing scheme requires a Maximum Distance Separable (...
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04/13/2021
On Generalized Expanded Blaum-Roth Codes
Expanded Blaum-Roth (EBR) codes consist of n× n arrays such that lines o...
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09/25/2020
Multiple-Layer Integrated Interleaved Codes: A Class of Hierarchical Locally Recoverable Codes
The traditional definition of Integrated Interleaved (II) codes generall...
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08/26/2019
A Short Course on Error-Correcting Codes
When digital data are transmitted over a noisy channel, it is important ...
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06/27/2019
Array Codes with Local Properties
In general, array codes consist of m× n arrays and in many cases, the ar...
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05/25/2018
Extended Integrated Interleaved Codes over any Field with Applications to Locally Recoverable Codes
Integrated Interleaved (II) and Extended Integrated Interleaved (EII) co...
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12/21/2017