Quadratic forms, generalized Hamming weights of codes and curves with many points

Journal of Number Theory

Volumn 59, Issue 1, 1996, Pages 20-36

  Van Der Geer, Gerard ^a   Van Der Vlugt, Marcel ^b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b LEIDEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030186887     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1996.0086     Document Type: Article

References (8)

1. [A] C. ARF, Untersuchungen über quadratische Formen in Körpern der Charakteristik 2, J. Reine Angew. Math. 183 (1941), 148-167.
2. [G-V1] G. VAN DER GEER AND M. VAN DER VLUGT, Reed-Muller codes and supersingular curves I, Compos. Math. 84 (1992), 333-367.
3. [G-V2] G. VAN DER GEER AND M. VAN DER VLUGT, Fibre products of Artin-Schreier curves and generalized Hamming weights of codes, Combin. Theory Ser. A 70 (1995), 337-348.
4. [G-V3] G. VAN DER GEER AND M. VAN DER VLUGT, Curves over finite fields of characteristic 2 with many rational points, C. R. Acad. Sci. Paris Sér. I 317 (1993), 593-597.
5. [G-V4] G. VAN DER GEER AND M. VAN DER VLUGT, Generalized Hamming weights of codes and curves over finite fields with many points, Israel Math. Conf. Proc. 9 (1996), 417-432.
6. [L-N] R. LIDL AND H. NIEDERREITER, Finite fields, "Encycl. Math. Appl.," Vol. 20, Addison-Wesley, Reading, MA, 1983.
7. [S] J-P. SERRE, Sur le nombre des points rationnels d'une courbe algébrique sur un corps fini, C. R. Acad. Sci. Paris Sér. I 296 (1983), 397-402. [Oeuvres 128]
8. [W] M. WIRTZ, "Konstruktion und Tabellen Linearer Codes," Westfälische Wilhelms-Universität Münster, 1991.