Generic Construction of Quaternary Sequences of Period $2N$ With Low Correlation From Quaternary Sequences of Odd Period $N$

摘要

In this paper, a simple but generic method is proposed for transforming any family of quaternary sequences, with low correlation, of any odd period $N$ to another family of quaternary sequences of period $2N$ with low correlation. As an application of the generic method to sequence Family ${cal A}$, a new optimal quaternary sequence family with length $2(2^{n}-1)$, family size $2^{n}+1$ , and maximal nontrivial correlation value $2^{n+1over 2}+2$, where $n$ is 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.