I would much appreciate if anyone could assist me with the following problem:
consider a 4-bit input vector
, with .
Now consider a function
, with and ,
i.e. the component functions are Boolean functions of algebraic degree .
Now consider two functions that have the following properties:
with the component functions
also being Boolean functions but only with an algebraic degree .
denote the two 4-bit output vectors of and .
I am looking for Boolean functions with algebraic degree , such that
I have already looked at Matlab, but it seems that it does not supports Boolean algebra
Does anyone has any idea how to approach this problem?