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Large families of pseudo-random subsets formed by generalized cyclotomic classes

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Abstract

Recently, Dartyge and Sárközy defined the measures, i.e., the well- distribution measure and the correlation measure of order k, of pseudo-randomness of subsets of the set {1, 2, . . . , N}, and they presented several examples for subsets with strong pseudo-random properties when N is a prime number. In this article, we present a construction of pseudo-random subsets for N = pq and give some partial results on the pseudo-random measures.

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Authors and Affiliations

  1. Key Laboratory of Applied Mathematics, Putian University, 351100, Putian, Fujian, People’s Republic of China

    Zhixiong Chen

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  1. Zhixiong Chen
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Correspondence to Zhixiong Chen.

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Communicated by J. Cigler.

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Chen, Z. Large families of pseudo-random subsets formed by generalized cyclotomic classes. Monatsh Math 161, 161–172 (2010). https://doi.org/10.1007/s00605-009-0117-z

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  • DOI: https://doi.org/10.1007/s00605-009-0117-z

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