2–5 Jul 2024
Osijek
Europe/Zagreb timezone

ON A CONSTRUCTION OF SELF-ORTHOGONAL CODES FROM ORBIT MATRICES OF 2-DESIGNS

5 Jul 2024, 10:30
20m
D3 (School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek)

D3

School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek

Trg Ljudevita Gaja 6, Osijek
Talk CDM: Combinatorics and Discrete Mathematics Combinatorics and Discrete Mathematics

Speaker

Marija Maksimović (Faculty of Mathematics, University of Rijeka)

Description

The constructions of self-orthogonal codes from orbit matrices of $2$-designs has been extensively studied. In this talk we present new constructions of self-orthogonal codes from orbit matrices of $2$-designs for the cases not covered previously. We apply this construction on orbit matrices of $2$-$(1024, 496, 249)$ and $2$-$(45, 5, 1)$ designs and obtain some optimal self-orthogonal codes.

Primary authors

Marija Maksimović (Faculty of Mathematics, University of Rijeka) Sanja Rukavina (Faculty of Mathematics, University of Rijeka)

Presentation materials

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