The cross-correlation measure for families of binary sequences

Gyarmati, Katalin and Mauduit, Christian and Sárközy, András (2014) The cross-correlation measure for families of binary sequences. In: Applied Algebra and Number Theory. Cambridge University Press, pp. 126-143.


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Large families of binary sequences of the same length are considered and a new measure, the cross-correlation measure of order $k$ is introduced to study the connection between the sequences belonging to the family. It is shown that this new measure is related to certain other important properties of families of binary sequences. Then the size of the cross-correlation measure is studied. Finally, the cross-correlation measures of two important families of pseudorandom binary sequences are estimated.

Item Type: Book Section
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA71 Number theory / számelmélet
Depositing User: Katalin Gyarmati
Date Deposited: 20 Sep 2014 14:37
Last Modified: 30 May 2016 17:50

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