Expanding out yields the elementary symmetric functions of the :
Define where is a non-negative symmetric function in and that can be chosen by the user.
In mathematics, the term "symmetric function" can mean two different concepts.
The following are fundamental examples of symmetric functions.
This final point applies in particular to the family (h) of complete homogeneous symmetric functions.
The obvious fact that explains the symmetry between elementary and complete homogeneous symmetric functions.
Since is a symmetric function, the above condition implies all the similar conditions for the remaining indexes!
A symmetric matrix, seen as a symmetric function of the row- and column number, is an example.
This phenomenon can be understood in the setting of the ring of symmetric functions.
Timing attacks can potentially be used against other cryptosystems, including symmetric functions.