You are given two numbers a and b. You need to find the multiplication of a and b under modulo M (M as 109+7). Example 1: Input: a = 92233720368547758 b = 92233720368547758 Output: 484266119 ...

Abstract: We present faster algorithms for the residue multiplication modulo 521-bit Mersenne prime on 32- and 64-bit platforms by using Toeplitz matrix-vector product. The total arithmetic cost of ...

Abstract: In this paper, we investigate statistical properties of modular multiplication modulo a power of two. In fact, we obtain the distribution of every single bit of modular multiplication.

This C# program efficiently calculates "a^b mod n" using fast modular exponentiation algorithm. Ideal for cryptography and large number computations.