NDLI: New <formula formulatype=inline><tex Notation=TeX>$M$</tex> </formula>-Ary Sequence Families With Low Correlation and Large Size

Content Provider	IEEE Xplore Digital Library
Author	Yun Kyoung Han Kyeongcheol Yang
Copyright Year	1963
Abstract	In this paper, we construct four M-ary sequence families from a power residue sequence of odd prime period p and its constant multiple sequences using the shift-and-add method, when M is a divisor of p-1. We show that the maximum correlation values of the proposed sequence families are upper-bounded by 2radicp +5 or 3radicp +4. In addition, we prove that the linear complexity of each sequence in the proposed families is either p-1 or p-[(p-1)/(M)]-1 . We also construct an M-ary sequence family from Sidel'nikov sequences of period p ^m-1 by applying the same method, when M is a divisor of p ^m-1. The proposed sequence family F tilde _s has larger size than the known M-ary Sidel'nikov sequence families, whereas they all have the same upper bound on the maximum correlation.
Sponsorship	IEEE Information Theory Society
Starting Page	1815
Ending Page	1823
Page Count	9
File Size	272560
File Format	PDF
ISSN	00189448
Volume Number	55
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Autocorrelation Multiaccess communication Multiple access interference Binary sequences Information technology Upper bound Wireless communication Mobile communication Adaptive systems Knowledge engineering Weil's theorem Linear complexity low correlation multiplicative character polyphase sequences power residue sequences Sidel'nikov sequences
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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