论文标题
长度36和对称2-（36,15,6）的极端三元自偶代码，具有命令2
Extremal ternary self-dual codes of length 36 and symmetric 2-(36,15,6) designs with an automorphism of order 2
论文作者
论文摘要
在本说明中，我们报告了所有对称的2-（36,15,6）设计的分类，该设计允许命令2的自动形态及其发病率矩阵产生一个极端的三元自偶联代码。结果表明，要达到同构，只有一种这样的设计，具有完整的自动形态组24，并且由其发病率矩阵跨越的三元代码等同于PLESS对称代码。
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.
