Families of pseudorandom sequences with low correlation are useful in a wide range of applications

such as code-division multiple access(CDMA) communications and cryptology

and the families with desired correlation can be effectively constructed by using function families over finite fields.In this paper

2

2

n

-2

families of binary sequences with low correlation are constructed by using two families of Boolean functions over the finite field with 2

n

elements

where

n

≡2(mod 4).There are 2

n

+1 binary sequences of period 2

n

-1 within each family

and the maximum correlation is 2

n

/2+1

+1.The proposed construction can provide mor

e families for CDMA communications and cryptology.