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- W4300709675 abstract "Gyarmati, Mauduit and S'arkozy introduced the cross-correlation measure $Phi_k(G)$ of order $k$ to measure the level of pseudorandom properties of families of finite binary sequences. In an earlier paper we estimated the cross-correlation measure of a random family of binary sequences. In this paper, we sharpen these earlier results by showing that for random families, the cross-correlation measure converges strongly, and so has limiting distribution. We also give sharp bounds to the minimum values of the cross-correlation measure, which settles a problem of Gyarmati, Mauduit and S'arkozy nearly completely." @default.
- W4300709675 created "2022-10-04" @default.
- W4300709675 creator A5037793363 @default.
- W4300709675 date "2016-08-08" @default.
- W4300709675 modified "2023-09-28" @default.
- W4300709675 title "The cross-correlation measure of families of finite binary sequences: limiting distributions and minimal values" @default.
- W4300709675 doi "https://doi.org/10.48550/arxiv.1608.02354" @default.
- W4300709675 hasPublicationYear "2016" @default.
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