2022 Nebraska Conference for Undergraduate Women in Mathematics

We will be looking at the interplay seen between the mathematical branch of coding and the mathematical branch of finite simple groups. We specifically will be dwelling on the Ternary Golay Code and its connections to the Mathieu groups M11 and M12. We will describe how the automorphism group of the [12, 6, 6] Ternary Golay Code is the Double Cover of M12. In order to achieve this, we build our own Ternary Golay Code and examine the vectors within that code. Then by exploring the automorphism group of our constructed Ternary Golay Code, we shall end with showing that the order of the automorphism group of our Ternary Golay Code is the same as two times the order of M12.