From basic algorithms like Sieve, Bitwise-sieve, Segmnted-sieve, Modular Arithmetic, Big Mod to Primality test, CRT etc. all other advance number theory algorithms ...

Students begin with familiar problems involving an analog clock and soon realize they already have some experience with modular arithmetic. Using this knowledge, they develop mathematical notation and ...

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 ...

This paper analyzes the reconfigurable design principles of public-key cryptography and the characteristics of modular arithmetic iteration process. According to the analysis results, a ...

High throughput and low resource are the crucial design parameters of elliptic curve cryptographic (ECC) processor in many applications. The efficiency of ECC processor mainly depends on modular ...

Ravi S. Kulkarni, An Arithmetic-Geometric Method in the Study of the Subgroups of the Modular Group, American Journal of Mathematics, Vol. 113, No. 6 (Dec., 1991), pp. 1053-1133 ...