Výsledky vyhledávání - "Ilaria Zappatore"

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Polynomial Linear System Solving with Random Errors: new bounds and early termination technique

Autor: Eleonora, Guerrini, Romain, Lebreton, Ilaria, Zappatore

This paper deals with the polynomial linear system solving with errors (PLSwE) problem. Specifically, we focus on the evaluation-interpolation technique for solving polynomial linear systems and we assume that errors can occur in the evaluation step.

Externí odkaz: http://arxiv.org/abs/2102.04182

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Simultaneous Rational Function Reconstruction with Errors: Handling Multiplicities and Poles

Autor: Eleonora Guerrini, Kamel Lairedj, Romain Lebreton, Ilaria Zappatore

Publikováno v: Journal of Symbolic Computation
Journal of Symbolic Computation, 2023, 116, pp.345-364. ⟨10.1016/j.jsc.2022.10.007⟩

International audience; In this paper, we focus on extensions of methods for interpolating rational functions from their evaluations, in the context of erroneous evaluations. This problem can be seen both from a computer algebra and a coding theory p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f910f3b12f92f8f8b72edaf2a2255700
https://hal.science/hal-03620179

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Wave-shaped round functions and primitive groups

Autor: Riccardo Aragona, Marco Calderini, Massimiliano Sala, Ilaria Zappatore, Roberto Civino

Publikováno v: Advances in Mathematics of Communications

Round functions used as building blocks for iterated block ciphers, both in the case of Substitution-Permutation Networks and Feistel Networks, are often obtained as the composition of different layers which provide confusion and diffusion, and key a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d0c7ba30dcd57544c70333034bcf8a6
https://doi.org/10.3934/amc.2019004

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Polynomial Linear System Solving with Random Errors: new bounds and early termination technique

Autor: Eleonora Guerrini, Romain Lebreton, Ilaria Zappatore

Publikováno v: ISSAC 2021-46th International Symposium on Symbolic and Algebraic Computation
ISSAC 2021-46th International Symposium on Symbolic and Algebraic Computation, Jul 2021, Saint Petersburg, Russia. pp.171-178, ⟨10.1145/3452143.3465548⟩
ISSAC
International Symposium on Symbolic and Algebraic Computation (ISSAC 2021)
International Symposium on Symbolic and Algebraic Computation (ISSAC 2021), Jul 2021, Saint Petersburg, Russia. pp.171-178, ⟨10.1145/3452143.3465548⟩

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8bf2ccd372db58503ed553789dcf890a

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On the Uniqueness of Simultaneous Rational Function Reconstruction

Autor: Eleonora Guerrini, Romain Lebreton, Ilaria Zappatore

Publikováno v: 45th International Symposium on Symbolic and Algebraic Computation (ISSAC)
45th International Symposium on Symbolic and Algebraic Computation (ISSAC), Jul 2020, Kalamata, Greece. pp.226-233, ⟨10.1145/3373207.3404051⟩
ISSAC

International audience; This paper focuses on the problem of reconstructing a vector of rational functions given some evaluations, or more generally given their remainders modulo different polynomials. The special case of rational functions sharing t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f33c963c03d7e0d22f1337cfcb554df1
https://hal-lirmm.ccsd.cnrs.fr/lirmm-02486922

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

Autor: Eleonora Guerrini, Ilaria Zappatore, Romain Lebreton

Publikováno v: 1st International Symposium on Information Theory
ISIT: International Symposium on Information Theory
ISIT: International Symposium on Information Theory, Jul 2019, Paris, France
ISIT

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 co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5657eb3c25bf922bcafb488e5b7778c
https://hal-lirmm.ccsd.cnrs.fr/lirmm-02127793

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