Keywords Euclidean Algorithm, Binary Quadratic Indefinite Equation, Indefinite Equation of Higher Order in Binary, Positive Integer Solutions Share and Cite: Zhou, Z. (2024) The Solution of the ...

The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm a ...

The Euclidean algorithm works with numbers of any size. To find the greatest common divisor of 77 and 187 using the Euclidean algorithm involves the process of long division, which you might have ...

The “steady walk” algorithm ( swa s w a ) described in this paper does not use the Euclidean algorithm for gcd g c d. The proof we give in Section 2 is interesting by itself and uses the following not ...

The Berlekamp-Massey (1968, 1969) algorithm (BMA) and the Euclidean algorithm (EA) for decoding have been considered as two different algorithms for solving the same problem, namely, the one given by ...

Program Description: This program gives the integer coefficients x,y to the equation ax+by=gcd (a,b) given by the extended Euclidean Algorithm. Note that this program does not use the typical extended ...

In arithmetic and computer programming, the extended Euclidean algorithm is an extension to the Euclidean algorithm, and computes, in addition to the greatest common divisor (gcd) of integers a and b, ...