Skip to main content
Log in

Multiplicative lattices in global fields

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Conway, J.H., Sloane, N.J.A.:Sphere packings, lattices and groups. Berlin Heidelberg New York: Springer 1988

    Google Scholar 

  2. 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)

    Google Scholar 

  3. Lang, S.:Algebraic number theory. Reading MA: Addison-Wesley 1970

    Google Scholar 

  4. Laurent M.:Sur la mésure de Mahler de certaines classes d'entiers algébriques. In:Colloque Algorithmique, Calcul Formel, Arithmétique. Université, de Saint-Etienne, 1983

  5. 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

    Google Scholar 

  6. Litsyn, S.N., Tsfasman, M.A.:Constructive high-dimensional sphere packings. Duke Math. J.54, 147–161 (1987)

    Google Scholar 

  7. Manin, Yu. I., Vlâduţ, S.G.:Linear codes and modular curves. J. Sov. Math.30, 2611–2643 (1985)

    Google Scholar 

  8. Martinet, J.:Tours des corps des classes et estimations des discriminants. Invent. Math.44, 65–73 (1978)

    Google Scholar 

  9. 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

    Google Scholar 

  10. Quebbemann, H.-G.:Lattices from curves over finite fields. Preprint (April 1989)

  11. 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)

    Google Scholar 

  12. Tsfasman, M.A., Vlâduţ, S.G.:Algebraic-geometric codes. Kluwer Akad. Publ. (to appear)

  13. 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)

    Google Scholar 

  14. Vlâduţ, S.G.:An exhaustion bound for algebraic-geometric modular codes. Probl. Info. Trans.23, 22–34 (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Oblatum 21-VI-1989

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rosenbloom, M.Y., Tsfasman, M.A. Multiplicative lattices in global fields. Invent Math 101, 687–696 (1990). https://doi.org/10.1007/BF01231520

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01231520

Keywords

Navigation