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Construction of large families of pseudorandom subsets using elliptic curves
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Abstract: | Recently, Dartyge and S\'{a}rk\"{o}zy 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. |
BibTeX
@misc{eprint-2009-18273, title={Construction of large families of pseudorandom subsets using elliptic curves}, booktitle={IACR Eprint archive}, keywords={foundations / Pseudo-random - Subsets - Elliptic curves -Character sums}, url={http://eprint.iacr.org/2009/076}, note={ ptczx@126.com 14291 received 15 Feb 2009}, author={Zhixiong Chen and Chenhuang Wu}, year=2009 }