Title :
On the cross-correlation of a ternary m-sequence of period 34k+2 − 1 and its decimated sequence by (32k+1+1)2 over 8
Author :
Choi, Sung-Tai ; No, Jong-Seon ; Chung, Habong
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ., Seoul, South Korea
Abstract :
In this paper, we investigate into the cross-correlation of a ternary m-sequence m(t) of period 3n - 1 and its decimated sequence m(dt) by d = (3m+1)2/8, where n = 2m = 4k + 2. It is shown that the magnitude of the cross-correlation values is upper bounded by 2√(3n + 1).
Keywords :
correlation theory; m-sequences; cross correlation; decimated sequence; ternary m-sequence; Galois fields; Upper bound;
Conference_Titel :
Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on
Conference_Location :
Austin, TX
Print_ISBN :
978-1-4244-7890-3
Electronic_ISBN :
978-1-4244-7891-0
DOI :
10.1109/ISIT.2010.5513697