Title :
Cyclic Codes and Sequences: The Generalized Kasami Case
Author :
Luo, Jinquan ; Tang, Yuansheng ; Wang, Hongyu
Author_Institution :
Sch. of Math. Sci., Yangzhou Univ., Yangzhou, China
fDate :
5/1/2010 12:00:00 AM
Abstract :
In this paper, the large family of generalized Kasami sequences has been studied. In particular, the cross-correlation distribution among these sequences has been explicitly calculated. Meanwhile, the weight distributions of two classes of cyclic codes could also be determined. This paper generalizes the results from several previous papers.
Keywords :
correlation methods; cyclic codes; sequences; cross correlation distribution; cyclic codes; exponential sum; generalized Kasami sequence; weight distribution; Application specific integrated circuits; Autocorrelation; Binary sequences; Computer aided software engineering; Galois fields; Hamming weight; Information theory; Materials science and technology; Parity check codes; Physics; Correlation distribution; cyclic code; exponential sum; sequence; weight distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2010.2043783
