Divisibility, Smoothness and Cryptographic Applications

This paper deals with products of moderate-size primes, familiarly known as smooth numbers. Smooth numbers play an crucial role in information theory, signal processing and cryptography. We present various properties of smooth numbers relating to their enumeration, distribution and occurrence in various integer sequences. We then turn our attention to cryptographic applications in which smooth numbers play a pivotal role. 1 

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: David Naccache, Igor Shparlinski
• Keywords: CORR 2008, Crucial Role, Education, Smooth Numbers, Various Integer Sequences