Michael Pohst
Abstract
The problem of determining shortest vectors and reduced bases or successive minima of lattices often occurs in algebra and number theory. Nevertheless, computational methods for the solution hardly exist in the literature. It is the aim of this paper to develop efficient algorithms for this purpose.
- John L. Donaldson, Minkowski reduction of integral matrices, Math. Comp., vol. 33 no. 145 (1979), 201--216.Google Scholar
Cross Ref
- W. Plesken & M. Pohst, On maximal finite irreducible subgroups of GL(n,Z), V. The eight dimensional case and a complete description of dimensions less than ten, Math. Comp., vol. 34 no. 149 (1980), 227--301.Google Scholar
- W. Plesken & M. Pohst, On integral lattices generated by vectors of minimal length, to appear.Google Scholar
- M. Pohst & H. Zassenhaus, On effective computation of fundamental units, to appear.Google Scholar
- H. Zassenhaus, Gauss theory of ternary quadratic forms, an example of the theory of homogeneous forms in many variables, with applications, Number Theory Seminar Lecture Notes, California Institute of Technology.Google Scholar
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