Symmetric 2-adic complexity of Tang–Gong interleaved sequences from generalized GMW sequence pair

The symmetric 2-adic complexity of Tang-Gong interleaved sequences from Legendre sequence pair

“…Tang and Gong used three different pairs of sequences and interleaved structure to construct three classes of sequences with optimal autocorrelation value or optimal autocorrelation magnitude [11]. As it was summarized in [8], the symmetric 2-adic complexity of the most cases of Tang-Gong interleaved sequences have been settled. Only two cases are open.…”

“…Only two cases are open. In this paper, we will focus one of two case, which is labeled No.3 in Table 1 in [8]. The sequence is defined as follows:…”

“…In addition, Zhang et al [5] determined the 2-adic complexity of the Ding-Helleseth-Martinsen sequence by using "Gauss periods" and "Gauss sums". By using or generalizing above three methods, the 2-adic complexity of most binary sequences with good autocorrelation and some cycoltomic sequences have been determined [6][7][8][9].…”