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Polynomial Linear System Solving with Errors by Simultaneous Polynomial Reconstruction of Interleaved Reed-Solomon Codes

Eleonora Guerrini 1 Romain Lebreton 1 Ilaria Zappatore 1
1 ECO - Exact Computing
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : In this paper we present a new algorithm for Polynomial Linear System Solving (via evaluation/interpolation) with errors. In this scenario, errors can occur in the black box evaluation step. We improve the bound on the number of errors that we can correct, using techniques inspired by the decoding procedure of Interleaved Reed-Solomon Codes.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-02127793
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Submitted on : Tuesday, July 9, 2019 - 5:43:53 PM
Last modification on : Tuesday, May 17, 2022 - 11:15:04 AM

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Eleonora Guerrini, Romain Lebreton, Ilaria Zappatore. Polynomial Linear System Solving with Errors by Simultaneous Polynomial Reconstruction of Interleaved Reed-Solomon Codes. ISIT 2019 - IEEE 1st International Symposium on Information Theory, Jul 2019, Paris, France. pp.1542-1546, ⟨10.1109/ISIT.2019.8849582⟩. ⟨lirmm-02127793v2⟩

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