In this paper, 2-adic complexity of some binary sequences with interleaved structure is
investigated. Firstly, 2-adic complexity of low correlation zone (LCZ) sequences constructed …

Tang et al. and Lim et al. presented ways to construct balanced quaternary sequences with
even period and optimal autocorrelation value by inverse Gray-mapping of binary …

In this paper, for balanced binary sequence pairs (BBSPs for short) of period N≡ 1 (mod, 4),
the optimality of their cross-correlation is determined. Next, a lower bound on the maximal …

In this paper, we investigate a generalized Gray map G on Z pk with pa prime, which
generalizes a Carlet's result in [1]. For a Z p k-valued function f (x), we use exponential sums …

Sequences with good odd periodic autocorrelation property are of importance in
applications. In this paper, we presented a lower bound of the magnitude of the odd periodic …

Let r be an odd prime, such that r≥ 5 and r≠ p, m be the order of r modulo p. Then, there
exists a 2p th root of unity in the extension field F r m. Let G (x) be the generating polynomial …

This paper investigates the construction methods of sequences with optimal autocorrelation
functions. The approaches proposed by us are to convert the known optimal sequences into …

In this paper, the linear complexity over $\mathbf {GF}(r) $ of generalized cyclotomic
quaternary sequences with period $2 pq $ is determined, where $ r $ is an odd prime such …

The optimal discrete signal are widely used in spread spectrum communication systems,
sonar, navigation, code division multiple access systems and other fields. The perfect …

In this letter, we give a trace representation of binary Jacobi sequences with period pq over
an extension field of the odd prime field F r. Our method is based on the use of a pqth root of …