Singularities of symmetric hypersurfaces and Reed-Solomon codes

DOI10.3934/amc.2012.6.69zbMath1259.14026arXiv1109.2265OpenAlexW2057886417MaRDI QIDQ414952

Melina Privitelli, Antonio Cafure, Guillermo Matera

Publication date: 11 May 2012

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2265

zbMATH Keywords

finite fieldsrational pointssymmetric polynomialsReed-Solomon codesdeep holessingular hypersurfaces

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Applications to coding theory and cryptography of arithmetic geometry (14G50) Combinatorial codes (94B25)

Related Items (5)

Deep holes in Reed-Solomon codes based on Dickson polynomials ⋮ On the error distance of extended Reed-Solomon codes ⋮ On the value set of small families of polynomials over a finite field. I ⋮ Estimates on the number of \(\mathbb{F}_q\)-rational solutions of variants of diagonal equations over finite fields ⋮ Factorization patterns on nonlinear families of univariate polynomials over a finite field

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