caa a22 4500 463203119 CHVBK 20180405153117.0 cr unu---uuuuu 170326e20070201xx s 000 0 eng 10.1007/s00200-006-0024-7 doi (NATIONALLICENCE)springer-10.1007/s00200-006-0024-7 Evaluation codes at singular points of algebraic differential equations [Elektronische Daten] [A. Campillo, J. Farran, M. Pisabarro] We use the special geometry of singular points of algebraic differential equations on the affine plane over finite fields to study the main features and parameters of error correcting codes giving by evaluating functions at sets of singular points. In particular, one gets new methods to construct codes with designed minimum distance. Springer-Verlag, 2006 Evaluation codes nationallicence Algebraic differential equations nationallicence Cayley-Bacharach theorem nationallicence Designed minimum distance nationallicence Campillo A. Departamento de Algebra, Geometria y Topologia, Universidad de Valladolid, Valladolid, Spain aut Farran J. Departamento de Matematica Aplicada, University of Valladolid, Valladolid, Spain aut Pisabarro M. Departamento de Matematicas, Universidad de León, León, Spain aut Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/1-2(2007-02-01), 191-203 0938-1279 18:1-2<191 2007 18 200 https://doi.org/10.1007/s00200-006-0024-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00200-006-0024-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Campillo A. Departamento de Algebra, Geometria y Topologia, Universidad de Valladolid, Valladolid, Spain aut NATIONALLICENCE 700 1- Farran J. Departamento de Matematica Aplicada, University of Valladolid, Valladolid, Spain aut NATIONALLICENCE 700 1- Pisabarro M. Departamento de Matematicas, Universidad de León, León, Spain aut NATIONALLICENCE 773 0- Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/1-2(2007-02-01), 191-203 0938-1279 18:1-2<191 2007 18 200 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer