I have worked on developing the raw implementation of RSA without using any library. It uses modular arithmetic to deal with large numbers. The program is working efficiently for 1024 bits of prime ...

Pure-Python library for working with modular arithmetic, congruence classes, and finite fields. A library for number theory and modular arithmetic algorithms in Python e.g. Pollard Rho, Miller–Rabin ...

Abstract: Modern cryptographic systems of public key require multiplication and modular exponentiation of large integers represented in the range of 512 to 2048 bits. If the operations are carried out ...

When presenting expressions, we saw examples of common arithmetic operations: addition, subtraction, multiplication, and division. Here we will present two additional operations which are closely ...

Abstract: Modular multiplication is used in a wide range of applications. Most of the existing modular multiplication algorithms in the literature often focus on large size moduli. However, those ...

This is a preview. Log in through your library . Journal Information The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership ...