Abstract
In this article, we define $M$-matrices of the ternary Golay code and build fundamental properties of the ternary Golay code on $M$-matrices. Moreover, using four $M$-matrices of the ternary Golay code, we give order three elements, in the Mathieu group $M_{12}$, which generate $M_{11}$ and $M_{12}$.
Citation
Maro KIMIZUKA. Ryuji SASAKI. "$M$-matrices of the Ternary Golay Code and the Mathieu Group $M_{12}$." Tokyo J. Math. 31 (1) 111 - 125, June 2008. https://doi.org/10.3836/tjm/1219844826
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