Pregled bibliografske jedinice broj: 1268601
Extremal ternary self-dual codes of length 36 and symmetric 2-(36, 15, 6) designs with an automorphism of order 2
Extremal ternary self-dual codes of length 36 and symmetric 2-(36, 15, 6) designs with an automorphism of order 2 // Journal of algebraic combinatorics, 57 (2023), 905-913 doi:10.1007/s10801-022-01206-2 (međunarodna recenzija, članak, znanstveni)
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Naslov
Extremal ternary self-dual codes of length 36 and symmetric 2-(36, 15, 6) designs with an automorphism of order 2
Autori
Rukavina, Sanja ; Tonchev, Vladimir D.
Izvornik
Journal of algebraic combinatorics (0925-9899) 57
(2023);
905-913
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Pless symmetry code ; Hadamard matrix ; Symmetric 2-design ; Automorphism group
Sažetak
In this note, we report the classification of all symmetric 2-(36, 15, 6)designs that admit an automorphism of order 2 and their incidence matrices generate an extremal ternary self-dual code. It is shown that up to isomorphism, there exists only one such design, having a full automorphism group of order 24, and the ternary code spanned by its incidence matrix is equivalent to the Pless symmetry code.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-45 - Dizajni, grafovi i linearni kodovi (Rukavina, Sanja, NadSve - UNIRI PROJEKTI 2018) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Sanja Rukavina
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
