Public key cryptography (RSA algorithm) Here's how it works: Initialize: r1 = a, r2 = b s1 = 1, s2 = 0 t1 = 0, t2 = 1 While r2 > 0: Calculate quotient: q = r1/r2 Update remainders: r = r1 - q×r2 Update coefficients: s = s1 - q×s2, t = t1 - q×t2 ...
In this study, basic cryptography terms are mentioned. The RSA algorithm (Rivest-Shamir-Adleman) is the basis of a cryptographic system, a suite of cryptographic algorithms used for private security services or purposes, and this allows public key encryption, widely used to secure pa...
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In the same way, the imple- mentation idea of the Diffie–Hellman key exchange protocol was initiated in [27] explains the similarities and differences between watermark security and cryptography security. Using the above knowledge, Euclidean Space point's (ESP) algorithm is designed in the second...
1. Use the Euclidean algorithm to find greatest common divisor of f (x) = x^4 + 7 x^2 + 1 and g (x) = x^5 + 2, considered as polynomials in F_3 [x]. Express gcd(f, g) as a combination of f and g. 2. P ...
The Euclidean algorithm is used to find the greatest common divisor as well as algebraic inverses. Hyperelliptic cryptography is a generalization of elliptic curve cryptography, which has come to the forefront of encryption technologies in recent years.;The most costly operation for hyperelliptic ...
This algorithm was known already in the ancient world, and it is still used today in different variants – for example, public-key cryptography relies on the fact that the greatest common divisor of two numbers can be efficiently computed....
Cort´es-Vega L. A., Rojas-Castro D. E., Santiago-Ayala Y. S. and Rojas-Romero S. C., "A technique based on the Euclidean algorithm and its applications to Cryptography and Nonlinear Diophantine Equations"., Proyecciones. J. Math., 26, 309-333 (2007)....
This algorithm was known already in the ancient world, and it is still used today in different variants ‒ for example, public-key cryptography relies on the fact that the greatest common divisor of two numbers can be efficiently computed....