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Paper Title Polynomial Linear System Solving with Errors by Simultaneous Polynomial Reconstruction of Interleaved Reed-Solomon Codes.
Paper IdentifierWE1.R8.2
Authors Eleonora Guerrini, Romain Lebreton, Ilaria Zappatore, LIRMM, France
Session Reed-Solomon Codes
Location Conseil, Level 5
Session Time Wednesday, 10 July, 09:50 - 11:10
Presentation Time Wednesday, 10 July, 10:10 - 10:30
Manuscript  Click here to download the manuscript
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.