This special session will focus on the interplay between coding theory with special emphasis on algebraic, combinatorial, and computational methods. These include the exploration of algebraic and geometric methods for special classes of codes such as algebraic geometry codes, rank-metric codes, additive codes, and codes with automorphisms. Techniques from Delsarte and Levenshtein for code families and related combinatorial structures will also be explored. Additionally, the session will focus on computer algebra methods for determining the parameters of codes and related combinatorial structures.
Session Organizers:
Peter Boyvalenkov (Bulgarian Academy of Sciences, Bulgaria)
Cem Güneri (Sabanci University, Turkey)
Ferruh Özbudak (Sabanci University, Turkey)
Speakers of the Session:
1. Buket Özkaya - "Characterization of Nearly Self-Orthogonal Quasi-Twisted Codes and Related Quantum Codes" - Middle East Technical University / Türkiye
2. Burcu Gülmez Temur - "On the complete characterization of a class of permutation trinomials in characteristic five" - Atılım University / Türkiye
3. Chiara Castello - "Some constructions of asymptotically optimal cyclic subspace codes" - University of Campania / Italy
4. Daniel Panariao - "Girth Analysis of Quantum Quasi-Cyclic LDPC Codes" - Carleton University / Canada
5. Giovanni Longobardi - "Scattered trinomials of F_{q^6}[X] in even characteristic" - University of Naples Federico II / Italy
6. Ilia Bouyukliev - "Graph isomorphism and isomorphism of binary matrices" - Bulgarian Academy of Sciences / Bulgaria
7. Maria Dzhumalieva-Stoeva - "Enumeration of optimal binary and ternary linear codes with different hull dimensions" - St. Cyril and St. Methodius University of Veliko Tarnovo / Bulgaria
8. Maryam Bajalan - "On the minimum distance and covering radius of irredundant orthogonal arrays" - Bulgarian Academy of Sciences / Bulgaria
9. Peter Bovyalenkov - "On a spherical code with 2025 points" - Bulgarian Academy of Sciences / Bulgaria
10. Peter Dragnev - "Universal polarization of sharp codes in the Leech lattice" - Purdue University Fort Wayne / USA
11. Stefka Bouyuklieva - "On the hulls of linear codes" - St. Cyril and St. Methodius University of Veliko Tarnovo / Bulgaria
12. Stela Bancheva - "Resolutions of cyclic 2-(40,4,1) designs" - Bulgarian Academy of Sciences / Bulgaria