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 ) = ...
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 am fairly new to python and I have this challenge to complete but have no clue on how to approach this below are the questions: Code a simple four- ...
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? So now f is ...
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 ...
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 have an array of N bits written on a cyclic tape. I read a sequence of M symbols starting from a random place on the tape. I was thinking about Reed ...
For galois field GF(2^8), the polynomial's format is a7x^7+a6x^6+...+a0. For AES, the irreducible polynomial is x^8+x^4+x^3+x+1. Apparently, the max ...
I am trying to create an Euclidean algorithm (to solve Bezout's Relation) for 2 polynomials in the GF(2^8). I currently have this code for my differe ...
I need to enhance the speed of my algorithm. The method takes the two matrices as argument and performs the dot multiplication. The only issue is that ...
I'm working on my master's thesis (computer science) on code which is written for post-quantum-secure signatures. The whole thing can be found here bu ...
I'm trying to create a class that uses the value of an array as a value/type template parameter. See below I believe my rationale for doing this is ...
I have a combined data information that requires minimum 35 bits. Using a 4-state barcode, each bar represents 2 bits, so the above mentioned inform ...
Reed-Solomon algorithm is adding an additional data to the input, so potential errors (of particular size/quantity) on such damaged input can be corre ...
For my Crypto course, I'm given with two polynomials, in compact form and an irreducible polynomial and am asked to perform the 4 basic arithmetic ope ...
One of the AVX-512 instruction set extensions is AVX-512 + GFNI, " Galois Field New Instructions". Galois theory is about field extensions. What does ...
I am simulating a mini AES encryption/decryption algorithm using C++. For this I need to multiply two 4-bit numbers while treating them as polynomia ...
I am simulating a mini AES encryption/decryption algorithm using MATLAB. For this I need to multiply two 4-bit numbers while treating them as polynomi ...
I have a output matrix (3,63) of a encoder BCH but this matrix is a Galois Field and i need convert this Galois field in a matrix binary, because matl ...
I want to implement some matrix operations such as product and inverse computation over a Galois Field GF(64) in C++ language. I have normally used Ei ...
(Updated Below) Attempting a problem from linear-algebra text Coding the Matrix by Philip Klein. Running into problems brute-forcing the ciphertext b ...