Distributed Systems, Mathematics, Algebra, Abstract Mathematics, Replication.
Field Generator It is easier to define the elements of GF(2ⁿ) using a generator, g. Then the elements will be {0, 1, g⁰, g¹, g² ….., g^N} where N = 2ⁿ-2 Generators make arithmetic easier to perform as we will see. First let’s see how to generate elements. Let’s consider an example of GF(2⁴) using