论文信息 - Linear complexity profile of m-ary pseudorandom sequences with small correlation measure*

Linear complexity profile of m-ary pseudorandom sequences with small correlation measure*

We estimate the linear complexity profile of m-ary sequences in terms of their correlation measure, which was introduced by Mauduit and Sarkozy. For prime m this is a direct extension of a result of Brandstatter and the second author. For composite m, we define a new correlation measure for m-ary sequences, relate it to the linear complexity profile and estimate it in terms of the original correlation measure. We apply our results to sequences of discrete logarithms modulo m and to quaternary sequences derived from two Legendre sequences.

Arne Winterhof | Zhixiong Chen | Arne Winterhof | Zhixiong Chen

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