Learning new things!
Using multiplicative group of size 16 to demonstrate the concept of coset.
suppose we have a trace \([1,2,3,4]\) , and we want to prove \(f(x)+1=f(gx)\)
\(g\) is the group generator for cyclic group of size 4, the same size of the trace.
These will be a series post about FFT and the math structure behind it. My goal are:
However, …
In abstract algebra, a field is a set equipped with two operations, usually called addition and multiplication. These operations satisfy several properties, which we outline below.