Abstract: Let n/d∈Q,m be a positive integer and Let u=n/d mod m. Thus u is the image of a rational number modulo m. The rational reconstruction problem is: given u and m find n/d. Classical Euclidean ...
An implementation of the RSA cryptosystem from first principles, demonstrating foundational algorithms like Miller-Rabin, Karatsuba Multiplication, and the Extended Euclidean Algorithm. RSA Encryption ...
Abstract: Bézout's Coefficients are critical mathematical constructs in cryptography, particularly for public key cryptographic applications requiring increasingly large keys. As software-based ...
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