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Expressions are derived for the moments of the distribution of weights of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">M</tex> -tuples or subsequences of long <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m</tex> -sequences. The expressions display a systematic relationship between the moments and the characteristic polynomial or generating function. An algorithm for determining the third moment, which measures skewness, is shown to provide a practical aid for selecting optimum m-sequences for various correlation-detection design problems.
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J. Lindholm (1968) studied this question.
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