On correlation properties of 4-phase with zero points from constant-weight sequences over GF(5)

We proposed a method for constructing constant-weight and multi-valued sequences from the cyclic difference sets by generalization of the method in binary case proposed by N.Li, X.Zeng and L.Hu in 2008. In this paper we give some properties about a set of such sequences by constant-weight sequences over GF(5) with length 21 from the (21, 5, 1)-cyclic difference set. It has almost highest linear complexities and good profiles of all sequences' linear complexities. Moreover we investigate new correlations method as the 4-phase with zero points for a set of sequences over GF(5) with length 21 and an example is given.