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 ...
You may never have heard of modular arithmetic, but you use it every day without the slightest difficulty. In this system, numbers wrap around when they reach a certain size called the modulus; it is ...
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 ...
In the last blogpost we introduced cryptography and dicsussed Monoalphabetic Substitution Ciphers. We could already see operations that are cyclic. For example, in Caesar Cipher we rotated the letters ...
Abstract: The Montgomery multiplication is an efficient method for modular arithmetic. Typically, it is used for modular arithmetic over integer rings to prevent the expensive inversion for the modulo ...
As we venture into the Intermediate-Scale Quantum (ISQ) era, the proficiency of modular arithmetic operations becomes pivotal for advancing quantum cryptographic algorithms. This study presents an ...
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