Paper 2008/437 Original: eprint.iacr.org/2008/437 ↗
Divisibility, Smoothness and Cryptographic Applications
Abstract
This paper deals with products of moderate-size primes, familiarly known as {\sl 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.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2008-10-20: last updated
- 2008-10-20: published
- Short URL
- https://ia.cr/2008/437
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2008/437,
author = {David Naccache and Igor Shparlinski},
title = {Divisibility, Smoothness and Cryptographic Applications},
howpublished = {Cryptology {ePrint} Archive, Paper 2008/437},
year = {2008},
url = {https://eprint.iacr.org/2008/437}
}