Extremal ternary self-dual codes of length 36 and symmetric 2-(36, 15, 6) designs with an automorphism of order 2

Autor:	Sanja Rukavina, Vladimir D. Tonchev
Rok vydání:	2022
Předmět:	Pless symmetry code Hadamard matrix Symmetric 2-design Automorphism group Algebra and Number Theory FOS: Mathematics 05B05 05B20 94B05 Mathematics - Combinatorics Discrete Mathematics and Combinatorics Combinatorics (math.CO)
Zdroj:	Journal of Algebraic Combinatorics. 57:905-913
ISSN:	1572-9192 0925-9899
Popis:	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. Comment: 12 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e258aafe023ab4e68ca6b82172c2e74 https://doi.org/10.1007/s10801-022-01206-2 Zobrazit plný text záznamu Full text from SpringerLink