Search for dissertations about: "finite fields"

Showing result 1 - 5 of 217 swedish dissertations containing the words finite fields.

  2. 1. Computing abelian varieties over finite fields

    Author : Stefano Marseglia; Jonas Bergström; Christophe Ritzenthaler; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; abelian varieties; finite fields; period matrices; ideal classes; orders; number fields; integral matrices; Mathematics; matematik;

    Abstract : In this thesis we address the problem of developing effective algorithms to compute isomorphism classes of polarized abelian varieties over a finite field and of fractional ideals of an order in a finite product of number fields.There are well-known methods to efficiently compute the classes of invertible ideals of an order in a number field, but not much has previously been known about non-invertible ideals. READ MORE

  4. 2. VLSI aspects on inversion in finite fields

    Author : Mikael Olofsson; Christof Paar; Linköpings universitet; []
    Keywords : VLSI; Inversion; Finite Fields; Area; Delay; Power dissipation; Irreducible polynomials; Polynomial basis; Triangular basis; Normal basis; Dual basis; Tower fields.; TECHNOLOGY; TEKNIKVETENSKAP;

    Abstract : Different algorithms and architectures for inversion in finite extension fields are studied. The investigation is restricted to fields of characteristic two. Based on a simple transistor model, various architectures are compared with respect to delay, area requirement, and energy consumption. READ MORE

  5. 3. Isomorphism classes of abelian varieties over finite fields

    Author : Stefano Marseglia; Jonas Bergström; Lars Halle; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Algebraic Geometry; Abelian Varieties; Finite Fields; Ideal Class Group; Ideal Class Monoid;

    Abstract : Deligne and Howe described polarized abelian varieties over finite fields in terms of finitely generated free Z-modules satisfying a list of easy to state axioms. In this thesis we address the problem of developing an effective algorithm to compute isomorphism classes of (principally) polarized abelian varieties over a finite field, together with their automorphism groups. READ MORE

  6. 4. Finite temperature and density QED with external fields

    Author : David Persson; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; magnetic; chemical potential; effective action; density; finite temperature; relativistic fermion gas; QED;

    Abstract : .... READ MORE

  7. 5. QED with external fields : vacuum effects and thermodynamics

    Author : Per Liljenberg; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; density; QED; vacuum magnetization; unstable vacuum; finite temperature; external field; boson stars; relativistic Bose gas;

    Abstract : .... READ MORE