DocumentCode
2112358
Title
A kind of cyclotomic numbers and Sidel´nikov sequences
Author
Yang, Jing ; Xia, Lingli
Author_Institution
Dept. of Math. Sci., Tsinghua Univ., Beijing, China
fYear
2010
fDate
17-19 Dec. 2010
Firstpage
948
Lastpage
953
Abstract
In this paper, another proof of explicit formulas of the cyclotomic numbers with order e = l and e = 2l (for odd prime l) over finite field with q elements in the case of “self-conjugation” is obtained. Then, the autocorrelation distributions of the corresponding e-ray Sidel´nikov sequences of period q - 1 are derived.
Keywords
number theory; sequences; autocorrelation distribution; cyclotomic numbers; e-ray Sidel´nikov sequences; finite field; odd prime numbers; self-conjugation; Correlation; Equations; Indexes; Jacobian matrices; Marine vehicles; Modulation; Cyclotomic number; Gauss sum; Jacobi sum; Sidel´nikov sequence; autocorrelation distribution;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory and Information Security (ICITIS), 2010 IEEE International Conference on
Conference_Location
Beijing
Print_ISBN
978-1-4244-6942-0
Type
conf
DOI
10.1109/ICITIS.2010.5689805
Filename
5689805
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