Autocorrelation Values of New Generalized Cyclotomic Sequences of Order Two of Length pq
Xiaojuan Liu · Jisuanji gongcheng · 2007
This paper gives some conjectures on the autocorrelation values of new generalized cyclotomic sequences of order 2 of length pq defined by Ding and Helleseth.The results show that the autocorrelation functions of these sequences are 5-,4-or 3-valued.These sequences have good autocorrelation property.The conjectures come from a computer programm which compute the autocorrelation values.All tested examples confirme to these conjectured values and so these assumptions appear to be well founded.However,a theoretical confirmation is not yet forthcoming.These sequences also have large linear complexity,which make it possible as key stream in stream ciphers or as random number generators.