The crosscorrelation distribution of a $p$ary $m$sequence of period $p^{2k}1$
and its decimated sequence by $\frac{(p^{k}+1)^{2}}{2(p^{e}+1)}$
Pages: 409  424,
Issue 4,
November
2013
doi:10.3934/amc.2013.7.409 Abstract
References
Full text (401.7K)
Related Articles
Yuhua Sun  College of Sciences, China University of Petroleum, 66 Changjiang Xilu, Qingdao, Shandong 266580, China (email)
Zilong Wang  State Key Laboratory of Integrated Service Networks, Xidian University, 2 Taibai Nanlu, Xi'an, Shannxi 710071, China (email)
Hui Li  State Key Laboratory of Integrated Service Networks, Xidian University, 2 Taibai Nanlu, Xi'an, Shannxi 710071, China (email)
Tongjiang Yan  College of Sciences, China University of Petroleum, 66 Changjiang Xilu, Qingdao, Shandong 266580, China (email)
1 
A. W. Bluher, On $x^{q+1}+ax+b$, Finite Fields Appl., 10 (2004), 285305. 

2 
S. T. Choi, J. S. No and H. Chung, On the crosscorrelation of a $p$ary $m$sequence of period $p^{2m}1$ and its decimated sequence by $\frac{(p^m+1)^{2}}{2(p+1)}$, IEEE Trans. Inf. Theory, 58 (2012), 18731879. 

3 
H. Dobbertin, T. Helleseth, P. V. Kumar and H. Martinsen, Ternary $m$sequences with threevalued crosscorrelation function: new decimations of Welch and Niho type, IEEE Trans. Inf. Theory, 47 (2001), 14731481. 

4 
T. Helleseth, Some results about the crosscorrelation function between two maximal linear sequences, Discrete Math., 16 (1976), 209232. 

5 
T. Helleseth and P. V. Kumar, Sequences with low correlation, in Handbook of Coding Theory (eds. V. Pless and C. Huffman), Elsevier Science Publishers, 1998, 17651853. 

6 
R. Lidl and H. Niederreiter, Finite Fields, AddisonWesley, Boston, 1983. 

7 
J. Luo and K. Feng, On the weight distributions of two classes of cyclic codes, IEEE Trans. Inf. Theory, 54 (2008), 53325344. 

8 
J. Luo, T. Helleseth and A. Kholosha, Two nonbinary sequences with sixvalued crosscorrelation, in Proceedings of IWSDA'11, (2011), 4447. 

9 
E. N. MÃ¼ller, On the crosscorrelation of sequences over $GF(p)$ with short periods, IEEE Trans. Inf. Theory, 45 (1999), 289295. 

10 
E. Y. Seo, Y. S. Kim, J. S. No and D. J. Shin, Crosscorrelation distribution of $p$ary $m$sequence of period $p^{4k}1$ and its decimated sequences by $(\frac{p^{2k}+1}{2})^{2}$, IEEE Trans. Inf. Theory, 54 (2008), 31403149. 

11 
T. Storer, Cyclotomy and Difference Sets, Markham, Chicago, 1967. 

Go to top
