Singularities of symmetric hypersurfaces and reed-solomon codes

We determine conditions on q for the nonexistence of deep holes of the standard Reed-Solomon code of dimension k over F q generated by polynomials of degree k + d. Our conditions rely on the existence of q-rational points with nonzero, pairwise-distinct coordinates of a certain family of hypersurfac...

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Detalles Bibliográficos
Autores principales: Cafure, A., Matera, G., Privitelli, M.
Formato: JOUR
Materias:
Deep holes
Finite fields
Rational points
Reed-solomon codes
Singular hypersurfaces
Symmetric polynomials
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_19305346_v6_n1_p69_Cafure
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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