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New construction of M-ary sequence family from Sidel'nikov sequences

Authors
Kim, Y.-S.Chung, J.-S.Choi, S.-T.No, J.-S.Chung, H.
Issue Date
2008
Publisher
IEEE
Citation
IEEE International Symposium on Information Theory - Proceedings, pp.1923 - 1926
Journal Title
IEEE International Symposium on Information Theory - Proceedings
Start Page
1923
End Page
1926
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/23441
DOI
10.1109/ISIT.2008.4595323
ISSN
2157-8101
Abstract
In this paper, for a positive integer M and a prime p such that M\p n - 1, a family of M-ary sequences using the M-ary Sidel'nikov sequences with period pn - 1 is constructed. This family has its maximum magnitude of correlation values upper bounded by 3√pn + 6 and the family size is (M - 1)2(2n-1 - 1) + M - 1 for p = 2 or (M - 1)2(pn - 3)/2 + M(M - 1)/2 for an odd prime p. © 2008 IEEE.
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