- 期刊
Construction of Large Families of Pseudorandom Subsets of the Set {1,2,…,N} Using Elliptic Curves
並列摘要
Pseudo-random subsets of the set {1,2,…,N} have many applications in the fields of network security, cryptography and other security issues. Recently, Dartyge and Sárközy investigated the measures-the well distribution measure and the correlation measure of order k-of pseudorandomness of subsets of the set {1,2,…,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 by using elliptic curves over finite fields and estimate their pseudorandom measures. Exponential sums play an important role in the proofs.
被引用紀錄
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延伸閱讀
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