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You can use Galois vectors to represent polynomials in an indeterminate quantity x, with coefficients in a Galois field. Form the representation by listing the coefficients of the polynomial in a vector in order of descending powers of x. For example, the vector
gf([2 1 0 3],4)
represents the polynomial Ax3 + 1x2 + 0x + (A+1), where
A is a primitive element in the field GF(24).
x is the indeterminate quantity in the polynomial.
You can then use such a Galois vector to perform arithmetic with, evaluate, and find roots of polynomials. You can also find minimal polynomials of elements of a Galois field.
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