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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

School/Department--School of Sciences and Engineering--Department of Mathematics and Applied Mathematics--Post-graduate theses

Type of Work--Post-graduate theses

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