This CLI can be used to generate a Galois table used for mathematical operations on primitive polynomials.
You need these tables to be able to calculate multiplications and additions of a primitive polynomial P(x).
Using this CLI to evaluate the primitive polynomial p(x) = x^4 + x + 1 results in the addition and multiplication tables. For simplicity, only the multiplication table is shown below.
MULTIPLICATION TABLE
g(x)=x^4 + x^1 + x^0
* a^-999 a^0 a^1 a^4 a^2 a^8 a^5 a^10 a^3 a^14 a^9 a^7 a^6 a^13 a^11 a^12
a^-999 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
a^0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
a^1 0 2 4 6 8 10 12 14 3 1 7 5 11 9 15 13
a^4 0 3 6 5 12 15 10 9 11 8 13 14 7 4 1 2
a^2 0 4 8 12 3 7 11 15 6 2 14 10 5 1 13 9
a^8 0 5 10 15 7 2 13 8 14 11 4 1 9 12 3 6
a^5 0 6 12 10 11 13 7 1 5 3 9 15 14 8 2 4
a^10 0 7 14 9 15 8 1 6 13 10 3 4 2 5 12 11
a^3 0 8 3 11 6 14 5 13 12 4 15 7 10 2 9 1
a^14 0 9 1 8 2 11 3 10 4 13 5 12 6 15 7 14
a^9 0 10 7 13 14 4 9 3 15 5 8 2 1 11 6 12
a^7 0 11 5 14 10 1 15 4 7 12 2 9 13 6 8 3
a^6 0 12 11 7 5 9 14 2 10 6 1 13 15 3 4 8
a^13 0 13 9 4 1 12 8 5 2 15 11 6 3 14 10 7
a^11 0 14 15 1 13 3 2 12 9 7 6 8 4 10 11 5
a^12 0 15 13 2 9 6 4 11 1 14 12 3 8 7 5 10
To be honest, by today I don't even know what a galois table was exactly used for, but I remember that back then the output of this tool helped me pass the university exam in Coding Theory. Basically, I printed all possible addition/multiplication tables for all possible primitive polynomials up to degree 5, so that in the exam is just had to search for the correct table to perform the multiplications/additions in no time.
I wrote this code in 2014 as an unexperienced university student, so the code quality is not impressive. Feel free to raise a PR, if you would like to fix something.
I hope it helps you too!