Some results about the cross-correlation function between two maximal linear sequences |
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Authors: | Tor Helleseth |
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Institution: | Mathematical Institute, University of Bergen, Bergen, Norway |
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Abstract: | Let {a1} and {ad1} be two maximal linear sequences of period pn ? 1. The cross-correlation function is defined by Cd(t) = ![/></figure> for <em>t</em> = 0, <em>t</em>…<em>p<sup>n</sup></em> ? 2, where <math><mtext>ζ = exp(2π </mtext><mtext>1</mtext><mtext>p</mtext><mtext>)</mtext></math>. We find some new general results about <em>C<sub>d</sub></em>(<em>t</em>). We also determine the values and the number of occurences of each value of <em>C<sub>d</sub></em>(<em>t</em>) for several new values of <em>d</em>.</td>
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