This article presents a new family of p-ary sequences. The proposed sequences are proved to have not only low correlation property, but also large linear span and large family size. Furthermore, it shows that the new ...This article presents a new family of p-ary sequences. The proposed sequences are proved to have not only low correlation property, but also large linear span and large family size. Furthermore, it shows that the new family of sequences contains Tang's construction as a subset if m-sequences are excluded from both constructions.展开更多
基金the Major Research plan of the National Natural Science Foundation of China(90604023);the Natural Science Foundation of Beijing(4072020);the National Research Foundation for the Doctoral Program of Higher Education of China(20040013007); the National High Technology Research and Development Program of China(2006AA01Z419).
文摘This article presents a new family of p-ary sequences. The proposed sequences are proved to have not only low correlation property, but also large linear span and large family size. Furthermore, it shows that the new family of sequences contains Tang's construction as a subset if m-sequences are excluded from both constructions.