Primitive Elements -> the basic element from which all other elements of the field can be obtained by exponentiation. i.e., an element A of the field in which the element B is a primitive element can be written as B = A ^n, where n is some non-negative integer. Be aware that the law of exponentiation (multplication) is not the same as that for integers. In GF(2^4) α = 0010 is primitve element
Primitive Polynomials -> are unfactorizable polynomial in the base field, whose root is the primitive element. a primitve poly : α^4 + α^2 + 1. this poly cannot be factorised in GF(2) (i.e., 0 and 1 arent roots), it also the such smallest degree poly with α as root.
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