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Questions - galois-field

How to write a polynomial in x**3 instead of x using Polynomial

At the moment i have a polynomial (of a galois field) in function of x. But i want to "evaluate" it in x^3. Any ideas on how to do it? import galois GF = galois.GF(31) f = galois.Poly([1,...
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kabooya

python

galois-field

Votes: 0

Answers: 1

Latest Answer

I am the author of the galois library. Converting f(x) to g(x) = f(x^3) is equivalent to multiplying the degrees of f(x) with non-zero coefficients by 3. In galois, this is done like this. In [1]: imp...
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Matt Hostetter

modulo reduction in field of non primitive order

I'm getting started with AES and need to calculate the inverse for S-byte table. I'm trying to generate exponential and logarithm table for inversion with generator 3. The exponents works fine till I ...
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Shanks Limbu

aes

galois-field

finite-field

Votes: 0

Answers: 1

Latest Answer

The polynomial used for AES = x^8 + x^4 + x^3 + x + 1 (0x11B) is prime, but not primitive. All non-zero numbers can be considered to be a power of 3. 3 raised to the 8th power modulo 0x11B = 3 * 0xFF ...
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rcgldr

how to caculate in GF(2^8) in Python?

x=Symbol('x') M=Matrix([[1,x],[x^2,x^3]]) s=M.det() f=lambdify(x,s) I need to know f(2)=? in GF(2^8),the caculate rules obey the GF(2^8)
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Marat

python

sympy

galois-field

Votes: 0

Answers: 2

Latest Answer

It's not exactly clear what you're asking to do, but here are some tools to assist. I created a Python package galois that extends NumPy arrays over Galois fields. All finite fields GF(p^m) are suppor...
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Matt Hostetter

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