On the 2-Adic Complexity of the Ding-Helleseth-Martinsen Binary Sequences
Lulu Zhang, Jun Zhang, Minghui Yang, Keqin Feng · IEEE Transactions on Information Theory · 2020
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 sums” on finite field Fq and valued in Z2N-1, where q ≡ 5 (mod 8) is a prime number and N = 2q is the period of the DHM sequences.