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On a Pseudorandom Property of Binary Sequences

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Abstract

C. Mauduit and A. Sárközy proposed the use of well-distribution measure and correlation measure as measures of pseudorandomness of finite binary sequences. In this paper we will introduce and study a further measure of pseudorandomness: the symmetry measure. First we will give upper and lower bounds for the symmetry measure. We will also show that there exists a sequence for which each of the well-distribution, correlation and symmetry measures are small. Finally we will compare these measures of pseudorandomness.

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  1. Department of Algebra and Number Theory, Eötvös Loránd University, H-1117, Budapest, Pázmány Péter sétány 1/c, Hungary

    Katalin Gyarmati

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  1. Katalin Gyarmati
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Correspondence to Katalin Gyarmati.

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Gyarmati, K. On a Pseudorandom Property of Binary Sequences. Ramanujan J 8, 289–302 (2004). https://doi.org/10.1007/s11139-004-0139-z

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  • DOI: https://doi.org/10.1007/s11139-004-0139-z

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