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A Generalization of the Family of p-ary Decimated Sequences With Low Correlation

Authors
Kim, Dae SanChae, Hi-JoonSong, Hong-Yeop
Issue Date
Nov-2011
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Keywords
CDMA signature sequences; correlation bound; linear complexity; m-sequences; Weil bound on Kloosterman sum
Citation
IEEE TRANSACTIONS ON INFORMATION THEORY, v.57, no.11, pp.7614 - 7617
Journal Title
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume
57
Number
11
Start Page
7614
End Page
7617
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/19793
DOI
10.1109/TIT.2011.2159576
ISSN
0018-9448
Abstract
Let p be a prime and n a positive integer. Let e vertical bar p(n) - 1 and N = p(n) - 1/e. In this paper, we construct a family S of e(2) N p-ary sequences, each member of S has period N and the magnitudes of correlations of members of S are upper bounded by 2 root p(n) = 2 root eN + 1.
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