🚀 go-pugleaf

Here is a table of polynomials:
x^7 + a^87x^6 + a^229x^5 + a^146x^4 + a^149x^3 + a^238x^2 +a^102x + a^21
                                    .
                                    .
                                    .
in this table , a is the primitive element 2 under GF(2^8). Each polynomial
is the product of
the first degree polynomial: x-2^0, x-2^1, x-2^2, .... ; where n is the
degree of the polynomial.
what is the value of each a^n (n=1,2,3,4,....).
another problem is how to do the mutiplication and addition over GF(2^8) &
GF(256)
especially when the value is larger than 255.
I've been stuck on these problems since two weeks ago, somebody help me!!!
clay@mail.ts.com.tw