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Period-Different $m$-Sequences With at Most Four-Valued Cross Correlation

Period-Different $m$-Sequences With at Most Four-Valued Cross Correlation

This paper follows the recent work of Helleseth, Kholosha, Johansen, and Ness to study the cross correlation between an m -sequence of period 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m</sup> - 1 and the d-decimation of an m-sequence of a shorter period 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> - 1 for an even number m …