Tylyshchak Alexander

professor;
Doctor of physical and mathematical sciences, Associate Professor
Department of Mathematics and Informatics

Research interests

- Coding Theory;
- Representation Theory;
- Theory of Linear Groups

Publications

List of Publications (including bibliographic description for the last 5 years):

Scopus, Web of Science:

  1. Gildea J., Taylor R., Kaya A., Tylyshchak A. Double bordered constructions of self-dual codes from group rings over Frobenius rings. Cryptography and Communications. (2020), pp. 1–16.
  2. Gildea J., Kaya A., Korban A., Tylyshchak A. Self-Dual Codes using Bisymmetric Matrices and Group Rings. Discrete Mathematics 343 (11) (2020), 112085, 10 pp.
  3. Gildea J., Kaya A., Taylor R., Tylyshchak A., Yildiz B. New Extremal Binary Self-Dual Codes From Block Circulant Matrices And Block Quadratic Residue Circulant Matrices. Discrete Mathematics, (2021), 344(11), 112590
  4. Tylyshchak A. A., Demko M. On hereditary irreducibility of some monomial matrices over local rings. Carpathian Mathematical Publications. 2021, 13 (1), 127–133
  5. Gildea J., Kaya A., Tylyshchak A., Yildiz B. A group induced four-circulant construction for self- dual codes and new extremal binary self-dual codes. Australasian Journal of Combinatoricsthis, (2022), 83(1), pp. 1–19.
  6. Bortos M., Gildea J., Kaya A., Korban A., Tylyshchak A. New Self-Dual Codes of Length 68 from a 2 by 2 block matrix Construction and Group Rings. Advances in Mathematics of Communication, (2022), 16(2), pp. 269–284.
  7. Gildea J., Korban A., Roberts A., Tylyshchak A. Extremal binary self-dual codes from a bordered four circulant construction. Discrete Mathematics 346 (8) (2023), 113425, 10 pp.
  8. Gildea J., Kaya A., Taylor R., Tylyshchak A. New Self-Dual Codes From 2 x 2 Block Circulant Matrices, Group Rings And Neighbours Of Neighbours. Advances in Mathematics of Communications 17(5), (2023), 1086-1100.
  9. Pohoriliak O., Syniavska O., Slyvka-Tylyshchak A., Tegza A., Tylyshchak A. Integrated lessons in calculus using software. Mathematics & Informatics, (2023), 4 (66).
  10. Bortos M. Ya., Tylyshchak A. A., Khymynets M. V. Extended binary Golay codes by a group algebra. Algebra and Discrete Mathematicі, 38 (1) (2024), 23–33.
  11. Gildea J., Korban A., Roberts A., Tylyshchak A. Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours. Advances in Mathematics of Communication 18(3) (2024), pp. 738-752.

Publications in professional publications of Ukraine (category “B”):

  1. Bartos M., Tilistyák S. Kiterjesztett bináris Golay-kódok egy csoport csoportalgebrája alapján // Nauk. visnyk Uzhhorod. un-tu. Ser. matem. i inform. – 2020. – Vyp. №1 (36). – P. 65–72.
  2. Bartos M., Tilistyák S. , Khymynec M. Kiterjesztett bináris Golay-kódok a diéder csoport csoportalgebrája alapján // Nauk. visnyk Uzhhorod. un-tu. Ser. matem. i inform. – 2022. – Vyp. №1 (40). – P. 27–32.

Publications in periodicals of other countries that are members of the Organization for Economic Cooperation and Development and the European Union:

  1. Gildea J., Taylor R., Kaya A., Tylyshchak A. Double bordered constructions of self-dual codes from group rings over Frobenius rings. Cryptography and Communications. (2020), pp. 1–16.
  2. Gildea J., Kaya A., Korban A., Tylyshchak A. Self-Dual Codes using Bisymmetric Matrices and Group Rings. Discrete Mathematics 343 (11) (2020), 112085, 10 pp.
  3. Gildea J., Kaya A., Taylor R., Tylyshchak A., Yildiz B. New Extremal Binary Self-Dual Codes From Block Circulant Matrices And Block Quadratic Residue Circulant Matrices. Discrete Mathematics, (2021), 344(11), 112590
  4. Gildea J., Kaya A., Tylyshchak A., Yildiz B. A group induced four-circulant construction for self- dual codes and new extremal binary self-dual codes. Australasian Journal of Combinatoricsthis, (2022), 83(1), pp. 1–19.
  5. Bortos M., Gildea J., Kaya A., Korban A., Tylyshchak A. New Self-Dual Codes of Length 68 from a 2 by 2 block matrix Construction and Group Rings. Advances in Mathematics of Communication, (2022), 16(2), pp. 269–284.
  6. Gildea J., Korban A., Roberts A., Tylyshchak A. Extremal binary self-dual codes from a bordered four circulant construction. Discrete Mathematics 346 (8) (2023), 113425, 10 pp.
  7. Gildea J., Kaya A., Taylor R., Tylyshchak A. New Self-Dual Codes From 2 x 2 Block Circulant Matrices, Group Rings And Neighbours Of Neighbours. Advances in Mathematics of Communications 17(5), (2023), 1086-1100.
  8. Pohoriliak O., Syniavska O., Slyvka-Tylyshchak A., Tegza A., Tylyshchak A. Integrated lessons in calculus using software. Mathematics & Informatics, (2023), 4 (66).
  9. Gildea J., Korban A., Roberts A., Tylyshchak A. Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours. Advances in Mathematics of Communication 18(3) (2024), pp. 738-752.

General information

EDUCATION AND AWARDS :

Education:

Doctoral studies (Taras Shevchenko National University of Kyiv, Department of Algebra and Computer Mathematics)

Postgraduate studies (Uzhhorod National University, Department of Algebra)

Higher education (Uzhhorod National University, Mathematician, Teacher of Mathematics, Teacher of Technical Drawing)

Academic Degrees:

Doctor of Physical and Mathematical Sciences, specialty 01.01.06 – Algebra and Number Theory

Candidate of Physical and Mathematical Sciences, specialty 01.01.06 – Algebra and Number Theory

Academic Titles:

Associate Professor

Internships (last 5 years):

  • Online course of SoftServe Academy
    Teacher’s DevOps Course
    2.07.2022 – 12.08.2022
  • Erasmus+ Staff Exchanges (STA) Program
    Visiting Eszterházy Károly Catholic University, Eger, Hungary
    28.11.2022 – 2.12.2022
  • Online course of Sigma Software University
    Teachers’ Smart Up
    22.07.2024 – 26.07.2024
  • CEEPUS Mobility (Freemover Teacher)
    Visiting Institute of Mathematics, Department of Applied Analysis and Computational Mathematics,
    Eötvös Loránd University (ELTE)
    , Budapest, Hungary, and implementing an exchange of experience in teaching and researching algebraic structures and their applications in coding theory.
    7.04.2025 – 18.04.2025
  • Online course of SoftServe Academy
    Tech Summer for Educators: Big Data Edition
    7.07.2025 – 28.07.2025

Other Achievements:

Membership in Specialized Academic and Expert Councils, Editorial Boards of Scientific Journals, etc.:

Professional Experience:

Professional experience in the field – more than 22 years.