Statistical Properties of the Arithmetic Correlation of Sequences

نویسندگان

  • Mark Goresky
  • Andrew Klapper
چکیده

In this paper we study arithmetic correlations of sequences. Arithmetic correlations are the with-carry analogs of classical correlations. We analyze the arithmetic autocorrelations of non-binary `-sequences, showing that they are nearly optimal. We analyze the expected autoand cross-correlations of sequences with fixed shift, averaged over all seqeunces with a fixed period. We analyze the expected autocorrelations of a fixed sequence, averaged over all shifts.

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عنوان ژورنال:
  • Int. J. Found. Comput. Sci.

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2011