I'm trying to implement finite field arithmetic to use it in Elliptic Curve calculations. Since all that's ever used are arithmetic operations that co ...
I'm trying to implement finite field arithmetic to use it in Elliptic Curve calculations. Since all that's ever used are arithmetic operations that co ...
Is there an efficient algorithm to compute the Jacobsthal matrix [WP] or equivalently the quadratic character χ in GF(q), J [ i, j ] = χ ( i - j ) = ...
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 ...
Is there a way to do linear algebra and matrix manipulation in a finite field in Python? I need to be able to find the null space of a non-square matr ...
I'm into developing code to do arithmetic in Galois field gf(2^8) and I think I'm getting wrong results on multiplication operations. The result fo ...
I want to perform addition and multiplication in F_{2^8} I currently have this code which seems to work for add but doesn't work for multiply; the is ...
in my function PolynomialIrreducibility() I'm evaluating if entered polynomial is irreducible or not over GF(prime_number). While testing implement ...
I've some questions related to the RAID storage structure. First, let me show a picture of RAID system. [RAID][1][1]: https://i.stack.imgur.com/Whd6B. ...
Given an odd prime, p, and integers n and m, I would like to quickly list all invertible m x m matrices whose entries come from the finite field of si ...
How to find generators of a finite field Fp[x]/f(x) with f(x) is a irreducible polynomial over Fp. Input: p (prime number), n (positive number), f (ir ...
Is there a way that I can solve a system of linear equations over the field F2(i.e addition and multiplication modulo 2 - the binary field) using pyth ...
I am trying to compound 2 CRC polynomials. I have a message for which I produce a CRC using one polynomial. I then CRC the result of the first CRC in ...
I have zero background and I have never seen these symbols before. Can someone explain what is going on here? ...
For my current project I need to be able to calculate the rank of 64*64 matrices with entries from GF(2). I was wondering if anyone had a good solutio ...
So currently I am trying to implement finite fields using only polynomials. So like, I don't want to be operating on binary numbers using operations s ...
I am implementing GF(8) Multiplication. Primitive Polynomial is x^3 + x + 1. I know the basics: if multiplication overflows, I can xor it with my prim ...
I am using pyfinte to calculate multiplication for AES over the field it uses which is F(2^8) but when I do as following: the actual result is 0xdc ...
I would like to implement multiplication of polynomials using NTT. I followed Number-theoretic transform (integer DFT) and it seems to work. Now I wo ...
I'm using the gf256 library to do galois field math, and I have it in a numpy matrix. Though when calling np.linalg.inv() with it, it throws an error. ...
I have been working on finite field. Suppose I have a prime number p=7. So I get a list q=[0,1,2,3,4,5,6]. Now I want all the possible permutation of ...