Reed-Muller codes and supersingular curves. I
Compositio Mathematica, Tome 84 (1992) no. 3, pp. 333-367. 
@article{CM_1992__84_3_333_0,
     author = {Van der Geer, Gerard and Van der Vlugt, Marcel},
     title = {Reed-Muller codes and supersingular curves. {I}},
     journal = {Compositio Mathematica},
     pages = {333--367},
     publisher = {Kluwer Academic Publishers},
     volume = {84},
     number = {3},
     year = {1992},
     mrnumber = {1189892},
     zbl = {0804.14014},
     language = {en},
     url = {http://www.numdam.org/item/CM_1992__84_3_333_0/}
}
TY  - JOUR
AU  - Van der Geer, Gerard
AU  - Van der Vlugt, Marcel
TI  - Reed-Muller codes and supersingular curves. I
JO  - Compositio Mathematica
PY  - 1992
SP  - 333
EP  - 367
VL  - 84
IS  - 3
PB  - Kluwer Academic Publishers
UR  - http://www.numdam.org/item/CM_1992__84_3_333_0/
LA  - en
ID  - CM_1992__84_3_333_0
ER  - 
%0 Journal Article
%A Van der Geer, Gerard
%A Van der Vlugt, Marcel
%T Reed-Muller codes and supersingular curves. I
%J Compositio Mathematica
%D 1992
%P 333-367
%V 84
%N 3
%I Kluwer Academic Publishers
%U http://www.numdam.org/item/CM_1992__84_3_333_0/
%G en
%F CM_1992__84_3_333_0
Van der Geer, Gerard; Van der Vlugt, Marcel. Reed-Muller codes and supersingular curves. I. Compositio Mathematica, Tome 84 (1992) no. 3, pp. 333-367. http://www.numdam.org/item/CM_1992__84_3_333_0/

[Be] Berlekamp, E.R.: The weight enumerators for certain subcodes of the second order Reed-Muller codes. Info. and Control 17 (1970), 485-500. | MR | Zbl

[H-D] Hasse, H., Davenport, H.: Die Nullstellen der Kongruenzzetafunktion in gewissen zyklischen Fällen. Journal f.d.r.u.a. Math. 172 (1934), 151-182. | JFM | Zbl

[Hu] Huppert, B.: Endliche Gruppen I. Grundlehren der Math. Wiss. 134. Springer-Verlag, Berlin, 1967. | MR | Zbl

[Jo] Joly, J.- R.: Equations et variétés algébriques sur un corps fini. Ens. Math. 19 (1973), 1-117. | MR | Zbl

[MacW-S] Macwilliams, F.J., Sloane, N.J.A.: The Theory of Error-correcting Codes. North-Holland, Amsterdam, 1983. | Zbl

[Mu1] Mumford, D.: Prym Varieties I, in Contributions to Analysis, pp. 325-350. Academic Press, London, New York, 1974. | MR | Zbl

[Mu2] Mumford, D.: Abelian Varieties. Oxford University Press 1974. | Zbl

[Se] Serre, J-P.: Sur le nombre des points rationnels d'une courbe algébrique sur un corps fini. C.R. Acad. Sci. Paris 296, Série I (1983), 397-402. | MR | Zbl

[T] Tate, J.: Endomorphisms of abelian varieties over finite fields. Invent. Math. 2 (1966), 134-144. | MR | Zbl