Title :
Two New Families of Optimal Binary Sequences Obtained From Quaternary Sequences
Author :
Tang, Xiaohu ; Helleseth, Tor ; Hu, Lei ; Jiang, Wenfeng
Author_Institution :
Inst. of Mobile Commun., Southwest Jiaotong Univ., Chengdu
fDate :
4/1/2009 12:00:00 AM
Abstract :
In this paper, we present two optimal binary families of sequences of length 2n-1 and 2(2n-1) for odd integer n. They are obtained as the images of proposed optimal quaternary sequences under the most significant bit and the Gray maps. The first family has 2n+1 sequences of length 2n-1 and the identical correlation distribution to that of Gold sequences and Gold-like sequences, and the second family of sequences of length 2(2n-1) has 2n sequences and the same correlation values as those of Kerdock sequences.
Keywords :
binary sequences; Gold sequences; Gold-like sequences; Gray maps; Kerdock sequences; identical correlation distribution; optimal binary sequences; optimal quaternary sequences; Binary sequences; Communication systems; Councils; Cryptography; Gold; Informatics; Laboratories; Lead; Mobile communication; Multiaccess communication; Binary sequence; Gold sequence; Gold-like sequence; Gray map; Kerdock sequence; most significant bit map; quaternary sequence;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2009.2013023
