A new optimal quaternary sequence family of length 2(2(n)-1) obtained from the orthogonal transformation of Families B and C
In this paper, a general orthogonal transformation on the optimal quaternary sequence Families B and C is presented. Consequently, the known optimal Family D and a new optimal Family epsilon are produced in a uniform method. In contrast to the known optimal Family D, the new Family epsilon has the same parameters such as the sequence length 2(2(n) - 1), the family size 2(n), and the maximal nontrivial correlation value 2 n+1/2 + 2, where n is a positive integer, but with a different correlation function.
quaternary sequences orthogonal transformation optimal sequences galois ring