Welcome to my Extended Euclidean Algorithm and Galois Fields Lab! This project explores the implementation of the extended Euclidean algorithm and the use of Galois Fields. This lab investigates the ...
The Extended Euclidean Algorithm (EEA) is an extension of the Euclidean Algorithm used to find the greatest common divisor (GCD) of two integers 𝑎a and 𝑏b, as well as their Bézout coefficients 𝑥x ...
Abstract: A new parallelization of the extended Euclidean GCD algorithm is proposed. It matches the best existing integer GCD algorithms since it can be achieved in parallel O/sub eps/(n/log n) using ...
Abstract: A novel method to obtain a basis for all possible solutions for decoding Reed-Solomon (RS) codes is given, using an intermediate result of decoding obtained by the Extended Euclidean ...
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