Design of Binary Sequences with Optimal Cross-correlation Values
Un-Sook Choi, Sung-Jin Cho · The Journal of the Korea institute of electronic communication sciences · 2011
Balanced binary sequences of period having the two-valued autocorrelation function have many applications in spread-spectrum communications system. In this paper we propose new nonlinear binary sequences which are constructed from Legendre sequences with the same cross-correlation as the sequences proposed by Cho. These sequences include the m-sequences, GMW sequences, Kasami sequences and No sequences which are described in terms of the trace function over a finite field. Also the proposed sequences have more low cross-correlation distribution than the quadratic form sequences proposed by Klapper.