Extremal ternary self-dual codes of length 36 and symmetric 2-(36, 15, 6) designs with an automorphism of order 2
Document Type
Article
Publication Date
5-2023
Department
Department of Mathematical Sciences
Abstract
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.
Publication Title
Journal of Algebraic Combinatorics
Recommended Citation
Rukavina, S.,
&
Tonchev, V.
(2023).
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(3), 905-913.
http://doi.org/10.1007/s10801-022-01206-2
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/17113