References
Conway, J.H., Sloane, N.J.A.:Sphere packings, lattices and groups. Berlin Heidelberg New York: Springer 1988
Ihara, Y.:Some remarks on the number of rational points of algebraic curves over finite fields. J. Fac. Sci. Univ. Tokyo, sec. 1A,28, 721–724 (1982)
Lang, S.:Algebraic number theory. Reading MA: Addison-Wesley 1970
Laurent M.:Sur la mésure de Mahler de certaines classes d'entiers algébriques. In:Colloque Algorithmique, Calcul Formel, Arithmétique. Université, de Saint-Etienne, 1983
Lenstra, H.W., Jr.,Codes from algebraic number, fields. In:Fundamental contributions in the Netherlands since 1945. (Vol. II, pp. 95–104) Amsterdam: North-Holland 1986
Litsyn, S.N., Tsfasman, M.A.:Constructive high-dimensional sphere packings. Duke Math. J.54, 147–161 (1987)
Manin, Yu. I., Vlâduţ, S.G.:Linear codes and modular curves. J. Sov. Math.30, 2611–2643 (1985)
Martinet, J.:Tours des corps des classes et estimations des discriminants. Invent. Math.44, 65–73 (1978)
Milnor, J.:Hilbert's problem 18: on crystallographic groups, fundamental domains, and on sphere packings. In:Hilbert's problems. (Proc. Symp. Pure Math., vol. 28, pp. 491–506) Providence RI: AMS 1976
Quebbemann, H.-G.:Lattices from curves over finite fields. Preprint (April 1989)
Schinzel A:On the product of the conjugates outside the unit circle of an algebraic number. Acta Arithm.24, 385–399 (1973);Addendum. Acta Aritm.,26, 329–331 (1975)
Tsfasman, M.A., Vlâduţ, S.G.:Algebraic-geometric codes. Kluwer Akad. Publ. (to appear)
Tsfasman, M.A., Vlâduţ, S.G.:, Zink, T.:Modular curves, Shimura curves, and Goppa codes better than the Varshamov-Gilbert bound. Math. Nachr.109, 21–28 (1982)
Vlâduţ, S.G.:An exhaustion bound for algebraic-geometric modular codes. Probl. Info. Trans.23, 22–34 (1987)
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Oblatum 21-VI-1989
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Rosenbloom, M.Y., Tsfasman, M.A. Multiplicative lattices in global fields. Invent Math 101, 687–696 (1990). https://doi.org/10.1007/BF01231520
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DOI: https://doi.org/10.1007/BF01231520