Some Results on Cross-Correlation Distribution Between a p -Ary m -Sequence and Its Decimated Sequences

For an odd prime p and two positive integers m, k such that m/gcd (k,m) ≥ 3 is odd, let d be a positive integer satisfying d(p k +1)=2(mod p m -1). In this paper, the cross-correlation between a p-ary m-sequence and its d-decimated sequences is investigated, and the cross correlation distribution is...

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Bibliographic Details
Published in:IEEE transactions on information theory 2014-11, Vol.60 (11), p.7368-7381
Main Authors: Yongbo Xia, Chunlei Li, Xiangyong Zeng, Helleseth, Tor
Format: Article
Language:English
Subjects:
Correlation
Educational institutions
Equations
Frequency modulation
Laboratories
Mathematical model
Online Access:Get full text
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Summary:For an odd prime p and two positive integers m, k such that m/gcd (k,m) ≥ 3 is odd, let d be a positive integer satisfying d(p k +1)=2(mod p m -1). In this paper, the cross-correlation between a p-ary m-sequence and its d-decimated sequences is investigated, and the cross correlation distribution is completely determined. The relationship between the decimations d considered in this paper and some known ones is also studied. This paper generalizes some previous results, and also gives new decimations, which lead to low cross correlation.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2014.2350775