On Properties of a Class of Multi-Sequences
Zhang Na · Journal of Information Engineering University · 2011
This paper examines the pseudorandom properties and linear complexity of a class of multi-sequences,whose coordinate sequences are kn stages m-sequences with the same minimal polynomial.The main conclusions are presented below: ①Their period is 2kn-1;②They have 2-level autocorrelation property and cycle-and-add property;③They have span n property if and only if their coordinate sequences are n-linear independent;④Their linear complexity is in,where 1≤i≤k.The results show that this class of multi-sequences can be used as source sequences in stream cipher.