A set of sequences over Z5 with period 21 including almost highest linear complexities

A method of construction for non-binary periodic sequence with constant weight from cyclic difference set is proposed. Two numerical examples are given, and their distribution and some Hamming distance between self-cyclic shift and cross-cyclic shift of two sequences are evaluated. For a set of sequences over Z
₅
with period 21, we show that its elements have almost the highest linear complexities from second numerical example.