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Dans cette thèse, nous nous intéressons à des problèmes à la croisée de deux domaines, les bases de données et les bases de connaissances. Nous considérons deux problèmes équivalents concernant les requêtes conjonctives avec négation : l'inclusion de requêtes et l'évaluation d'une requête booléenne sous l'hypothèse du monde ouvert. Nous reformulons ces problèmes sous la forme d'un problème de déduction dans un fragment de la logique du premier ordre. Puis nous raffinons des schémas d'algorithmes déjà existants et proposons de nouveaux algorithmes. Pour les étudier et les comparer expérimentalement, nous proposons un générateur aléatoire et analysons l'influence des différents paramètres sur la difficulté des instances du problème étudié. Finalement, à l'aide de cette méthodologie expérimentale, nous comparons les apports des différents raffinements et les algorithmes entre eux. / In this thesis, we consider problems at the intersection of two areas: databases and knowledge bases. We focus on two equivalent problems on conjunctive queries with negation : query containment and query answering with boolean queries while making the open-world assumption. We reformulate these problems as a problem of deduction in a first order logic fragment. Then we refine existing algorithm schemes and propose new algorithms. To study and compare them experimentally, we propose a random generator and we analyze the influence of parameters on problem instances difficulty. Finally, we analyse the contributions of the different refinements and we compare experimentally the algorithms.

<p>The subject for this thesis is to find a basis which minimizes the number of bit operations involved in a finite field multiplication. The number of bases of a finite field increases quickly with the extension degree, and it is therefore important to find efficient search algorithms. Only fields of characteristic two are considered. </p><p>A complexity measure is introduced, in order to compare bases. Different methods and algorithms are tried out, limiting the search in order to explore larger fields. The concept of equivalent bases is introduced. </p><p>A comparison is also made between the Polynomial, Normal and Triangular Bases, referred to as known bases, as they are commonly used in implementations. Tables of the best found known bases for all fields up to GF(2^24) is presented. </p><p>A list of the best found bases for all fields up to GF(2^25) is also given.</p>

Thèse doctorat : Informatique : Villeurbanne, INSA : 1999. / Titre provenant de l'écran-titre. Bibliogr. p. 165-174.

The subject for this thesis is to find a basis which minimizes the number of bit operations involved in a finite field multiplication. The number of bases of a finite field increases quickly with the extension degree, and it is therefore important to find efficient search algorithms. Only fields of characteristic two are considered. A complexity measure is introduced, in order to compare bases. Different methods and algorithms are tried out, limiting the search in order to explore larger fields. The concept of equivalent bases is introduced. A comparison is also made between the Polynomial, Normal and Triangular Bases, referred to as known bases, as they are commonly used in implementations. Tables of the best found known bases for all fields up to GF(2^24) is presented. A list of the best found bases for all fields up to GF(2^25) is also given.

Typescript (photocopy). / Digitized by Kansas State University Libraries

published_or_final_version / Chemistry / Doctoral / Doctor of Philosophy

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