Abstract
We construct a family of finite binary sequences which has a remarkable uniformity with respect to specification of several terms and which also has the property that every sequence in the family has small measures of normality, well distribution in arithmetical progressions and multiple correlations. We also construct a pseudorandom bit generator whose output consists of members of the family.
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Communicated by Attila Pethő
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Sárközy, A., Stewart, C. On Pseudorandomness in Families of Sequences Derived from the Legendre Symbol. Period Math Hung 54, 163–173 (2007). https://doi.org/10.1007/s-10998-007-2163-9
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DOI: https://doi.org/10.1007/s-10998-007-2163-9