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On integral basis reduction in global function fields

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Algorithmic Number Theory (ANTS 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1122))

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References

  1. Campillo, A.: Algebroid curves in positive characteristic; Springer-Verlag; Berlin-Heidelberg-New York; 1980

    Google Scholar 

  2. Coates, J.: Construction of rational functions on a curve; Proc. Camb. Phil. Soc., No. 68; 1970; 105–123

    Google Scholar 

  3. Cohn, P. M.: Algebraic numbers and algebraic functions; Chapman & Hall; London-New York-Tokyo-Melbourne-Madras; 1991

    Google Scholar 

  4. Griffiths, D.: Series expansion of algebraic functions; in: Bosma, W.; van der Poorten, A. (eds.): Computational algebra and number theory; Kluwer Academic Publishers; Boston-Dordrecht-London; 1995

    Google Scholar 

  5. KANT group: KANT V4; to appear in J. Symb. Comput.

    Google Scholar 

  6. Lenstra, A. K.; Lenstra, H. W. Jr.; Lovász, L.: Factoring polynomials with rational coefficients; Math. Ann., Vol. 261; 1982; 515–534

    Google Scholar 

  7. Mahler, K.: An analogue to Minkowski's geometry of numbers in a field of series; Ann. Math., Vol. 42; No. 2; 1941; 488–522

    Google Scholar 

  8. Pohst, M. E.: Computational algebraic number theory; Birkhäuser Verlag; Basel-Boston-Berlin; 1993

    Google Scholar 

  9. Pohst, M.; Zassenhaus, H.: Algorithmic algebraic number theory; Cambridge University Press; Cambridge-New York-Melbourne; 1989

    Google Scholar 

  10. Ribowicz, M.: Calcul de paramétrisation de courbes algébriques: Les développements de Hamburger-Noether; Rapport de recherche RR 798-M; TIM 3/IMAG Informatique et Mathématiques Appliquées de Grenoble; 1989

    Google Scholar 

  11. Schmidt, W. M.: Construction and estimation of bases in function fields; J. Number Th. 39, No. 2; 1991; 181–224

    Google Scholar 

  12. Walker, R. J.: Algebraic curves; Springer-Verlag; New York-Heidelberg-Berlin; 1978

    Google Scholar 

  13. Weiss, E.: Algebraic number theory; Chelsea Publishing Company; New York; 1976

    Google Scholar 

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Authors and Affiliations

  1. Sekr. MA 8-1, FB 3 Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, D-10623, Berlin, F.R.G.

    M. E. Pohst & M. Schörnig

Authors
  1. M. E. Pohst
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  2. M. Schörnig
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Henri Cohen

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© 1996 Springer-Verlag Berlin Heidelberg

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Pohst, M.E., Schörnig, M. (1996). On integral basis reduction in global function fields. In: Cohen, H. (eds) Algorithmic Number Theory. ANTS 1996. Lecture Notes in Computer Science, vol 1122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61581-4_62

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  • DOI: https://doi.org/10.1007/3-540-61581-4_62

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61581-1

  • Online ISBN: 978-3-540-70632-8

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