Mathematics and Education in Mathematics

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Vol. 55 (2026): Mathematics and Education in Mathematics

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Proceedings of the Fifty-Fifth Conference of the Union of Bulgarian Mathematicians, April 5 - 9, 2026, Tryavna, Bulgaria

Published: 2026-04-03

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Full issue

Preface

Preface

Tsonka Baicheva

5-6
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Invited Talks

On the Banach-Mazur Ellipse

Vladimir Babev, Milen Ivanov, Rosen Nikolov

009-018
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Digitised cultural heritage as data: emerging trends in its use in school-level computer science education

Milena Dobreva

019-030
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Good practices in mathematics teacher training in the era of artificial intelligence

Nataliya Pavlova

031-045
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Section A: Mathematical Structures

Focal surfaces of developable ruled surfaces and their invariants

Cvetelina Dinkova, Radostina Encheva

049-059
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A Diophantine inequality with mixed powers of four primes of a specific type

Tatiana Todorova

060-077
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The edge-isoperimetric inequality for powers of cycles

Kristiyan Vasilev

078-084
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Section B: Mathematical Modelling and Informatics

The four basic functions in the lexicographic generation of the subsets of a given set

Valentin Bakoev

087-097
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Performance optimization of hybrid GNN–LLM pipelines for code comparison

Daniel Damyanov

098-106
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Semantic normalization on graph models searching structure matchings in code

Daniel Damyanov, Zlatko Varbanov

107-116
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Bidirectional translation between text-based and block-based programming languages in the Logo tradition

Hristo Hristov

117-125
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AI-driven cybersecurity in critical infrastructure: A bibliometric analysis (2015–2025)

Evgeniya Nikolova, Todor Slavov

126-133
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Evaluating systematic linguistic reasoning in large language models via linguistics olympiad problems

Tsvetelina Stefanova, Tsvetozar Georgiev

134-149
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Section C: Education in Mathematics

Analysis of selected mathematical problems in school education

Ivaylo Dimitrov, Miroslav Hristov, Mehmed Kodzha

153-162
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A competence-based methodological framework for meaningful derivation of formulae for areas, surface areas and volumes in the preparation of future mathematics teachers

Desislava Georgieva

163-170
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Areas in convex quadrilateral

Plamen Gostev

171-176
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Divergent series – synergy between mathematical fallacies and summation methods

Kamelia Koleva

177-185
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STEAM workshop „Mathematics in the Varna Necropolis, 5th Millennium BC”

Tanya Marinova, Nataliya Borisova, Sevdalina Georgieva

186-197
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The ellipse, parabola, and hyperbola as sections of a rotational cone with a plane

Irena Parvanova, Yana Kancheva

198-204
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Auxiliary projection planes in solving some metric problems

Irena Parvanova, Yana Kancheva

205-213
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Ukrainian Experience in Teaching Higher Mathematics in English: Outcomes and Challenges

Nataliia Snizhko

214-222
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The importance of providing full solutions in mathematics assessment

Ralitza Stamenkova

223-231
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Harnessing the power of primes: An educational game approach to prime numbers in middle school

Mariela Stancheva

232-241
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The expanding scope of artificial intelligence integration in mathematics education: A comprehensive review

Tsvetelina Stefanova, Slavi Georgiev

242-254
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Optimization problem in financial resource management in profiled information technology education

Bilyana Stoynova

255-264
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Gamification in computer modeling and information technologies for 6th grade: functions and formulas in spreadsheets

Elena Traykova, Miroslava Nikolova, Philip Petrov

265-271
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In memoriam

Ivan Tonov – the man for whom mathematics was an adventure, heuristics – a guide, and humor – a joyful “aha”

Philip Petrov, Evgenia Sendova

275-282
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Anniversaries

80th birth anniversary of Acad. Stefan Dodunekov

Peter Boyvalenkov, Stefka Bouyuklieva

285-297
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Happy 80th anniversary, Acad. Petar Popivanov!

Nedyu Popivanov

298-302
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Prof. Avram Mois Eskenazi: An “Irreducible Test” for high scientific, social, and human value

Krassimira Ivanova

303-308
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Mini Symposium

Integer codes and their applications: an overview

Todorka Alexandrova, Hristo Kostadinov, Nikolai Manev

320-328
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New optimal (v, k, 1) optical orthogonal codes with k = 3, 5, 6

Tsonka Baicheva, Svetlana Topalova

329-339
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Verifying the computed weight distribution for the binary Reed–Muller Code R(4,9)

Yuri Borissov, Miroslav Markov

340-349
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On maximum distance separable and completely regular codes

Joaquim Borges, Josep Rifà, Victor Zinoviev

350-356
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On cyclic invariants of the free associative algebra

Silvia Boumova, Vesselin Drensky

357-369
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Griesmer codes, Grey–Rankin bound and the projective dual transform

Stefka Bouyuklieva, Iliya Bouyukliev

370-381
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On T-avoiding spherical codes and designs in 32-dimensional Euclidean space

Peter Boyvalenkov, Danila Cherkashin, Peter Dragnev, Daniel Yorgov, Vassil Yorgov

382-392
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The punctured dodecacode is unique

Markus Grassl, Denis Krotov, Lin Sok, Patrick Solé

393-404
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On the maximal length of near-MDS codes

Ivan Landjev, Assia Rousseva

405-413
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Gabidulin codes based post-quantum encryption schemes

Pierre Loidreau

414-422
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A conjecture on the minimum length of binary linear codes

Tatsuya Maruta, Taiki Tochiyama, Keita Yasufuku

423-432
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On the structure of cyclic Steiner triple systems of small order

Antoaneta Tsvetanova, Stela Zhelezova Stela Zhelezova

433-441
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On the ternary extended perfect Golay code by the modified GC-construction

Dimitrii Victorovich Zinoviev, Victor Alexandrovich Zinoviev

442-447
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