This project explores the cognitive origins of the Euclidean algorithm, tracing its development from embodied group-splitting to recursive abstraction. It is intended for students, educators, and ...

This paper shows that there is a close relationship between the Euclidean algorithm for polynomials and the Lanczos method for solving sparse linear systems, especially when working over finite fields ...

Abstract: In this paper, a novel-decoding algorithm based on Euclidean method is developed correct errors for RS codes. This new decoding algorithm can solve the ...

Abstract: In this paper, we present a Reformulated Euclidean Algorithm (REA) and its optimized architecture for Reed-Solomon decoding. Through algorithm transformations on a modified Euclidean ...

This course is available on the BSc in Business Mathematics and Statistics, BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Mathematics, Statistics and Business. This ...