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On the limit of maximal density of sequences with a Perfect Linear Complexity Profile
Authors:Alice E D Houston
Institution:(1) Paro d'Innovation, International Space University, Blvd. Gonthier d'Andernach, 67400 Illkirch-Graffenstaden, France
Abstract:A binary sequence with a Perfect Linear Complexity Profile (PLCP) has all the jumps in its linear complexity profile of height exactly 1. We prove the conjecture made in Ho that the limit of the maximum density (proportion of ones) over all PLCPs of a particular length is 2/3 as the length tends to infinity.
Keywords:binary sequence  linear complexity profile  density
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