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dc.contributor.author
Videla Guzman, Denis Eduardo
dc.date.available
2022-10-12T17:30:40Z
dc.date.issued
2021-10
dc.identifier.citation
Videla Guzman, Denis Eduardo; On diagonal equations over finite fields via walks in NEPS of graphs; Academic Press Inc Elsevier Science; Finite Fields and Their Applications; 75; 101882; 10-2021; 1-10
dc.identifier.issn
1071-5797
dc.identifier.uri
http://hdl.handle.net/11336/172740
dc.description.abstract
We obtain an explicit combinatorial formula for the number of solutions (x1, ..., xr) ∈ (Fpab )r to the diagonal equation xk 1+···+xk r = α over the finite field Fpab , with k = pab−1 b(pa−1) and b > 1, by using the number of r-walks in NEPS of complete graphs.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
DIAGONAL EQUATIONS
dc.subject
FINITE FIELDS
dc.subject
HAMMING GRAPHS
dc.subject
NEPS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On diagonal equations over finite fields via walks in NEPS of graphs
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-09-19T16:07:09Z
dc.identifier.eissn
1090-2465
dc.journal.volume
75
dc.journal.number
101882
dc.journal.pagination
1-10
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Videla Guzman, Denis Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.journal.title
Finite Fields and Their Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1071579721000769
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.ffa.2021.101882
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