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Identifier 000421839
Title Εύρεση στοιχείων μεγάλης τάξης σε πεπερασμένα σώματα
Alternative Title Elements of high order in finite fields
Author Νικηφόρος, Κωνσταντίνος
Thesis advisor Γαρεφαλάκης, Θεόδουλος
Reviewer Κουβιδάκης, Αλέξανδρος
Λουκάκη Μαρία
Abstract The purpose of this master thesis is to find elements of high order in certain extensions of finite fields. We work on two cases. At first, we find such elements in Artin-Schreier extension and then we find such elements using generic roots of certain polynomials. In both cases, our goal is to find a strong lower bound of some elements' order. To do this, we compare the order of that elements with the cardinal number of some sets and we have the desired results.
Language Greek
Subject Multiplicative order
Ανάγωγα πολυώνυμα
Πολλαπλασιαστική τάξη
Issue date 2019-03-22
Collection   Faculty/Department--Faculty of Sciences and Engineering--Department of Mathematics and Applied Mathematics--Post-graduate theses
  Type of Work--Post-graduate theses
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