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

作者：Tang Xiaohu^*; Helleseth Tor

来源：IEEE Transactions on Information Theory, 2011, 57(4): 2295-2300.

DOI：10.1109/TIT.2011.2110290

• Galois ring
• Gray mapping
• optimal sequences
• quaternary sequences

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, a new optimal quaternary sequence family with length 2(2(n) - 1), family size 2(n) + 1, and maximal nontrivial correlation value 2(n+1/2) + 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.

• 出版日期2011-4
• 单位西南交通大学