The major challenge when working with permutations is that the factorial function gets very, very large very, very quickly. The BigInteger data type was introduced in the .NET Framework 4.0; it ...

In computer security, random numbers are crucial values that must be unpredictable—such as secret keys or initialization vectors (IVs)—forming the foundation of security systems. To achieve this, ...

This note discusses sufficient conditions for a function of permutations (j1,⋯,jn) of the integers 1,2,⋯,n to have a minimum at the permutation (j1 *,⋯,jn *) and derives a solution algorithm that is ...

The paper contains a simple, direct derivation of the generating functions for a class of permutations generalizing the up-down permutations. This monthly journal, begun in 1950, is devoted entirely ...

KAIST researchers have developed a DRBG that theoretically achieves the highest possible level of security through a new proof technique, while maximizing speed by parallelizing its structure. This ...