Paper 2009/076 Original: eprint.iacr.org/2009/076 ↗
Construction of large families of pseudorandom subsets using elliptic curves
Abstract
Recently, Dartyge and Sárközy investigated the measures, i.e., the well distribution measure and the correlation measure of order $k$, of pseudorandomness of subsets of the set $\{1, 2,\ldots, N\}$, and they presented several constructive examples for subsets with strong pseudorandom properties when $N$ is a prime number. In this article, we present a construction of pseudorandom subsets using elliptic curves over finite fields and estimate the pseudorandom measures. Character sums play an important role in the proofs.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2009-02-16: last updated
- 2009-02-16: published
- Short URL
- https://ia.cr/2009/076
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2009/076,
author = {Zhixiong Chen and Chenhuang Wu},
title = {Construction of large families of pseudorandom subsets using elliptic curves},
howpublished = {Cryptology {ePrint} Archive, Paper 2009/076},
year = {2009},
url = {https://eprint.iacr.org/2009/076}
}