A new optimal quaternary sequence family of length 2(2(n)-1) obtained from the orthogonal transformation of Families B and C

作者：Tang, Xiaohu^*; Helleseth, Tor; Fan, Pingzhi

来源：Designs, Codes and Cryptography, 2009, 53(3): 137-148.

DOI：10.1007/s10623-009-9294-y

• Quaternary sequences
• Optimal sequences
• Galois ring
• Orthogonal transformation

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.

• 出版日期2009-12
• 单位西南交通大学