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
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;
Conference_Titel :
Information Theory and Information Security (ICITIS), 2010 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6942-0
DOI :
10.1109/ICITIS.2010.5689805
