Generic Construction of Quaternary Sequences of Period $2N$ With Low Correlation From Quaternary Sequences of Odd Period $N$
Xiaohu Tang, Tor Helleseth · IEEE Transactions on Information Theory · 2011
In this paper, a simple but generic method is proposed for transforming any family of quaternary sequences, with low correlation, of any odd periodNto another family of quaternary sequences of period 2N with low correlation. As an application of the generic method to sequence Family A, a new optimal quaternary sequence family with length 2(2n-1), family size 2n+1 , and maximal nontrivial correlation value 2[(n+1)/2]+2, wherenis an odd integer, is obtained. Most notably, unlike all the known optimal quaternary sequence families, the new family has a unique property that the odd integers 1, 3 and the even integers 0, 2 are allocated alternatively in all the sequences.