On the Optimality of the Golden Code

In this note, we prove the optimality of the Golden Code inside the class of cyclic algebras based codes. In doing so, we get better insight on these algebraic codes, not only in dimension 2, but more generally for higher dimension, and summarizing the different approaches tried so far to optimize them, we derive design strategies that we believe are the key to either show the optimality of existing codes or give a way to improve them.