Divisibility, Smoothness and Cryptographic Applications

Details Divisibility, Smoothness and Cryptographic Applications Divisibility, Smoothness and Cryptographic Applications

2008-10-12

arxiv.org/abs/0810.2067v3

Mathematics

Number Theory

Scientific paper

This paper deals with products of moderate-size primes, familiarly known as smooth numbers. Smooth numbers play a 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.

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