On the number of points of some hypersurfaces in Fnq

Finite Fields and their Applications

Volumn 2, Issue 2, 1996, Pages 214-224

  Cherdieu, Jean Pierre ^a   Rolland, Robert ^b  

^a UNIVERSITÉ DES ANTILLES ET DE LA GUYANE   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030120283     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1006/ffta.1996.0014     Document Type: Article

References (9)

1. 1. P. Cartier, Les arrangements d'hyperplans: Un chapitre de géométrie combinatoire, in "Séminaire Bourbaki, 1980/81," Lecture Notes in Mathematics, Vol. 901, Springer-Verlag, Berlin/New York.
2. 2. P. Delsarte, J. M. Goethals, and F. J. MacWilliams, On generalized Reed-Muller codes and their relatives, Inform. Control 16 (1970).
3. 3. T. Kasami, S. Lin, and W. Peterson, New generalizations of the Reed-Muller codes. I. Primitive codes, IEEE Trans. Inform. Theory IT-14, No. 2 (1968).
4. 4. G. Lachaud, Zéros des polynômes relativement irréductibles, unpublished manuscript.
5. 5. R. J. McEliece, Quadratic forms over finite fields and second-order Reed-Muller codes, JPL Space Programs Summary, 37-58, Vol. III.
6. 6. P. Orlik and H. Terao, "Arrangements of Hyperplanes," Springer-Verlag, Berlin/New York, 1992.
7. 7. W. M. Schmidt, Equations over finite fields: An elementary Approach," Springer-Verlag, Berlin/New York, 1976.
8. 8. J-P. Serre Lettre à Tsfasman du 24 Juillet 1989, in Journées Arithmétiques de Luminy 17-21 Juillet 1989, Astérisque 198-199-200 (1991).
9. 9. A. B. Sorensen, A note on algorithms deciding rationality and absolute irreducibility based on the number of rational solutions, RISC-Linz Series no. 91-37.0, Aug. 1991.