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On the cross-correlation of ternary m-sequences of period 3 4k+2 - 1 with decimation 3 4k+2 - 3 2k+1 +2/4 + 3 2k+1

Authors
Kim, J.-Y.Choi, S.-T.Lim, T.No, J.-S.Chung, H.
Issue Date
2012
Keywords
cross-correlation; decimation; exponential sum; m-sequence; quadratic form
Citation
IEEE International Symposium on Information Theory - Proceedings, pp.1014 - 1018
Journal Title
IEEE International Symposium on Information Theory - Proceedings
Start Page
1014
End Page
1018
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/19084
DOI
10.1109/ISIT.2012.6282562
ISSN
0000-0000
Abstract
In this paper, for an integer k, we evaluate an upper bound for the cross-correlation of a ternary m-sequence of period N = 3 4k+2 - 1 and its decimated sequence with decimation d = 3 4k+2 - 3 2k+1 +2/4 + 3 2k+1. It is found that the cross-correlation is upper bounded by 4.5·3 2k+1 + 1. © 2012 IEEE.
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