Correlation Distributions between an m-Sequence and Its Niho Decimation Sequences of Short Period
Author:
Affiliation:
1. Department of Mathematics and Statistics, South-Central University for Nationalities
2. Hubei Key Laboratory of Intelligent Wireless Communications, South-Central University for Nationalities
Publisher
Institute of Electronics, Information and Communications Engineers (IEICE)
Subject
Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing
Link
https://www.jstage.jst.go.jp/article/transfun/E102.A/2/E102.A_450/_pdf
Reference30 articles.
1. [1] S.T. Choi, J.Y. Kim, and J.S. No, “On the cross-correlation of a p-ary m-sequence and its decimated sequences by $d=\frac{p^n+1}{p^k+1}+\frac{p^n-1}{ 2}$,” IEICE Trans. Commun., vol.E96-B, no.9, pp.2190-2197, Sept. 2013. 10.1587/transcom.e96.b.2190
2. [2] S.T. Choi, T. Lim, J.S. No, and H. Chung, “On the cross-correlation of a p-ary m-sequence of period p2m-1 and its decimated sequences by (pm+1)2/(2(p+1)),” IEEE Trans. Inf. Theory, vol.58, no.3, pp.1873-1879, March 2012. 10.1109/tit.2011.2177573
3. [3] H. Dobbertin, P. Felke, T. Helleseth, and P. Rosendahl, “Niho type cross-correlation functions via Dickson polynomials and Kloosterman sums,” IEEE Trans. Inf. Theory, vol.52, no.2, pp.613-627, Feb. 2006. 10.1109/tit.2005.862094
4. [4] H. Dobbertin, T. Helleseth, P.V. Kumar, and H. Martinsen, “Ternary m-sequences with three-valued cross-correlation function: New decimations of Welch and Niho type,” IEEE Trans. Inf. Theory, vol.47, no.4, pp.1473-1481, May 2001. 10.1109/18.923728
5. [5] J. Fan, Y. Xu, Y. Xia, and X. Zeng, “Two families of Niho sequences having four-valued cross correlation with m-sequences,” Sci. China Math., vol.60, no.12, pp.2377-2390, Dec. 2017. 10.1007/s11425-016-9061-y
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