Generalized Kasami Sequences: The Large Set
Xiangyong Zeng, J.Q. Liu, Lei Hu · IEEE Transactions on Information Theory · 2007
In this correspondence, new binary sequence families Fkof period 2n-1 are constructed for even n and any k with gcd(k,n)=2 if n/2 is odd or gcd(k,n)=1 if n/2 is even. The distribution of their correlation values is completely determined. These families have maximum correlation 2n/2+1and family size 23n/2+ 2n/2for odd n/2 or 23n/2+2n/2-1 for even n/2. The proposed families include the large set of Kasami sequences, where the k is taken as k=n/2+1.