The series is aimed specifically at publishing peer-reviewed reviews and contributions presented at conferences, workshops, and international seminars as well as edited volumes commemorating and honoring significant achievements by mathematicians. This content covers various topics within pure and applied mathematics and provides up-to-date coverage of new developments, methods, and applications.

Each volume undergoes peer review using a double-blind reviewing process. Reviewers are asked to judge the validity, significance, and originality of the work. Series editor(s) assess comments and make necessary recommendations to respective book editors and contributing authors.

The series De Gruyter Proceedings in Mathematics is indexed in MathSciNet (Mathematical Reviews) and Scopus.

Editorial Board

Sayavur Bakhtiyarov, New Mexico Tech, Socorro, USA

Andrei Chtcheprov, North Carolina, USA

Vitaly Volpert, CNRS, University of Lyon, France

Editorial Office

Ranis N. Ibragimov, Ph.D

De Gruyter

121 High Street, Third Floor

Boston, MA 02110, USA

E-mail: ranis.ibragimov@degruyter.com

Autorentext
James A. Davis, Richmond, VA

Klappentext

The volume covers wide-ranging topics from Theory: structure of finite fields, normal bases, polynomials, function fields, APN functions. Computation: algorithms and complexity, polynomial factorization, decomposition and irreducibility testing, sequences and functions. Applications: algebraic coding theory, cryptography, algebraic geometry over finite fields, finite incidence geometry, designs, combinatorics, quantum information science.

Zusammenfassung

The volume covers wide-ranging topics from Theory: structure of finite fields, normal bases, polynomials, function fields, APN functions. Computation: algorithms and complexity, polynomial factorization, decomposition and irreducibility testing, sequences and functions. Applications: algebraic coding theory, cryptography, algebraic geometry over finite fields, finite incidence geometry, designs, combinatorics, quantum information science.