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  • 1 Johann Radon Institute for Computational and Applied Mathematics Austrian Academy of Sciences Altenberger Strasse 69, 4040 Linz, Austria Altenberger Strasse 69, 4040 Linz, Austria
  • | 2 Johann Radon Institute for Computational and Applied Mathematics Austrian Academy of Sciences Altenberger Strasse 69, 4040 Linz, Austria Altenberger Strasse 69, 4040 Linz, Austria
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Summary  

A high linear complexity profile is a desirable feature of sequences used for cryptographical purposes. For a given binary sequence we estimate its linear complexity profile in terms of the correlation measure, which was introduced by Mauduit and Srkzy. We apply this result to certain periodic sequences including Legendre sequences, Sidelnikov sequences and other sequences related to the discrete logarithm.

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