Popovych R. Elements of high multiplicative order in finite fields

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0516U000772

Thesis Registration Form

0516U000772.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

04-10-2016

Specialized Academic Board

Д 26.206.03

The Institute of Mathematics of NASU

Essay

We obtained in the thesis in explicit form elements of finite fields and lower bounds on their multiplicative orders in the case of finite fields on a base of cyclotomic polynomials, on a base of Kummer polynomials, on a base of Artin-Schreier polynomials, recursive extensionsof finite fields and general finite fields. Lower bounds are also found on multiplicative order of related with primality testing subgroups of the correspondent multiplicative group of finite field.

Read more

Files

aref.doc

aref.doc

dis.pdf

Similar theses

0421U104052

Dmytrenko Serhii Oleksandrovych

Two-symbol systems of encoding of numbers related to continued fractions and their applications

0421U104053

Popovych Dmytro Romanovych

Generalizations of Inönü–Wigner contractions and Lie-orthogonal operators

0521U102033

Hatalevych Andrii Ivanovych

Reduction of matrices over Bezout rings and related problems of the theory of rings and modules.

0421U102902

Desiateryk Oleksandra O.

Structure of variants of semigroups

0421U102771

Mykytsei Oksana Yaroslavivna

Lattice-valued predicates on continuous semilattices.