2–5 Jul 2024
Osijek
Europe/Zagreb timezone

Doubly even self-orthogonal codes from incidence and orbit matrices of quasi-symmetric designs

5 Jul 2024, 11:30
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

Ana Šumberac (Faculty of Mathematics, University of Rijeka)

Description

Construction and classification of self-orthogonal and self-dual codes is an active field of research. A code for which all codewords have weight divisible by four is called doubly even. Among self-orthogonal, especially self-dual codes, doubly even codes attract special attention. In this talk, we are dealing with some constructions of doubly even self-orthogonal linear codes from incidence matrices and orbit matrices of quasi-symmetric designs. Quasi-symmetric design meaning that this design has exactly two block intersection numbers. In particular, we consider constructions from quasi-symmetric designs of Blokhuis-Haemers type.

Primary authors

Ana Šumberac (Faculty of Mathematics, University of Rijeka) Dean Crnković Doris Dumičić Danilović (Faculty of Mathematics, University of Rijeka, Croatia) Andrea Svob (Faculty of Mathematics, University of Rijeka)

Presentation materials

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