Title :
On the cross-correlation of ternary m-sequences of period 34k+2 − 1 with decimation 34k+2 − 32k+1 +2/4 + 32k+1
Author :
Kim, Ji-Youp ; Choi, Sung-Tai ; Lim, Taehyung ; No, Jong-Seon ; Chung, Habong
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ., Seoul, South Korea
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 = 34k+2 - 1 and its decimated sequence with decimation d = 34k+2 - 32k+1 +2/4 + 32k+1. It is found that the cross-correlation is upper bounded by 4.5 · 32k+1 + 1.
Keywords :
m-sequences; decimated sequence; ternary m-sequences cross-correlation; upper bound; Bismuth; Correlation; Educational institutions; Electrical engineering; Polynomials; Upper bound; cross-correlation; decimation; exponential sum; m-sequence; quadratic form;
Conference_Titel :
Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
978-1-4673-2580-6
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2012.6282562