KANT/KASH

KASH/KANT is a computer algebra system (CAS) for sophisticated computations in algebraic number fields and global function fields. It has been developed under the project leadership of Prof. Dr. M. Pohst at Technische Universität Berlin. KANT is a program library for computations in algebraic number fields, algebraic function fields and local fields. In the number field case, algebraic integers are considered to be elements of a specified order of an appropriate field F. The available algorithms provide the user with the means to compute many invariants of F. It is possible to solve tasks like calculating the solutions of Diophantine equations related to F. Furthermore subfields of F can be generated and F can be embedded into an overfield. The potential of moving elements between different fields (orders) is a significant feature of our system. In the function field case, for example, genus computations and the construction of Riemann-Roch spaces are available.

This software is also referenced in ORMS.


References in zbMATH (referenced in 149 articles , 1 standard article )

Showing results 41 to 60 of 149.
Sorted by year (citations)
  1. Klüners, Jürgen; Pauli, Sebastian: Computing residue class rings and Picard groups of orders (2005)
  2. Maharaj, Hiren; Matthews, Gretchen L.; Pirsic, Gottlieb: Riemann-Roch spaces of the Hermitian function field with applications to algebraic geometry codes and low-discrepancy sequences (2005)
  3. Maharaj, Hiren; Wulftange, Jörg: On the construction of tame towers over finite fields (2005)
  4. Matthews, Gretchen L.: Some computational tools for estimating the parameters of algebraic geometry codes (2005)
  5. Méndez Omaña, José; Pohst, Michael E.: Factoring polynomials over global fields. II. (2005)
  6. Olajos, Péter: Power integral bases in the family of simplest quartic fields (2005)
  7. Pohst, Michael E.: Factoring polynomials over global fields. I (2005)
  8. Pohst, Michael E.; Wagner, Marcus: On the computation of Hermite-Humbert constants for real quadratic number fields (2005)
  9. Roettger, C. G. J.: Periodic points classify a family of Markov shifts (2005)
  10. Ahn, Jeoung-Hwan; Kwon, Soun-Hi: The class groups of the imaginary Abelian number fields with Galois group ((\mathbbZ/2\mathbbZ)^n) (2004)
  11. Allombert, Bill: An efficient algorithm for the computation of Galois automorphisms (2004)
  12. Baake, Michael; Grimm, Uwe: Bravais colourings of planar modules with (N)-fold symmetry (2004)
  13. Belabas, Karim: A relative van Hoeij algorithm over number fields (2004)
  14. Belabas, Karim: Topics in computational algebraic number theory (2004)
  15. Hachimori, Yoshitaka: On the (\mu)-invariants in Iwasawa theory of elliptic curves (2004)
  16. Itoh, Tsuyoshi: On the Iwasawa (\mu)-invariant of the cyclotomic (\mathbbZ_p)-extension of certain quartic fields (2004)
  17. Malle, Gunter: On the distribution of Galois groups. II (2004)
  18. Togbé, Alain: A parametric family of cubic Thue equations (2004)
  19. Viterbo, Emanuele; Oggier, Frédérique: Algebraic number theory and code design for Rayleigh fading channels (2004)
  20. Bush, M. R.: Computation of Galois groups associated to the 2-class towers of some quadratic fields. (2003)

Further publications can be found at: http://page.math.tu-berlin.de/~kant/publications.html