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

2022/09/27 by Rukavina, Sanja, Tonchev, Vladimir D.
#05B05 #05B20 #94B05 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.13468

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.

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