Trace Function Representation of a New Class of Sextic Residue Sequences of Period p≡ 7(mod 8)
Xiaoni Du, Xiao Guo-zhen · Jisuanji gongcheng · 2007
The paper constructs a new kind of sextic residue sequences of period prime p=4u2+27=6f+1.Based on the theory of finite fields and difference sets,trace function representation of this sequence of period p≡7(mod 8) is determined.The linear complexity of the new sequence is 3f=(p-1)/2,which outperforms that of Hall’s sextic residue sequences.