On the 2-Adic Complexity of the Ding-Helleseth-Martinsen Binary Sequences

04/11/2019

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by   Lulu Zhang, et al.

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We determine the 2-adic complexity of the Ding-Helleseth-Martinsen (DHM) binary sequences by using cyclotomic numbers of order four, "Gauss periods" and "quadratic Gauss sum" on finite field F_q and valued in Z_2^N-1 where q ≡ 5 8 is a prime number and N=2q is the period of the DHM sequences.