On the Number of Distinct Autocorrelation Distributions of M-ary Sidel'nikov Sequences |
Chung, Jung-Soo
(서울대학교 전기.컴퓨터공학부 및 뉴미디어통신공동연구소)
Kim, Young-Sik (삼성전자) No, Jong-Seon (서울대학교 전기.컴퓨터공학부 및 뉴미디어통신공동연구소) Chung, Ha-Bong (홍익대학교 전자전기공학부) |
1 | V. M. Sidel'nikov, 'Some k-valued pseudorandom sequences and nearly equidistant codes,' Probl. Inf. Transm., vol. 5, no. 1, pp. 12-16, 1969 |
2 | Y.-S. Kim, J.-S. Chung, J.-S. No, and H. Chung, 'On the autocorrelation distributions of Sidel'nikov sequences,' IEEE Trans. Inf. Theory, vol. 51, no. 9, pp. 3303-3307, Sep. 2005 DOI ScienceOn |
3 | L.D. Baumert, W.H. Mills, and R.L. Ward, 'Uniform cyclotomy,' J. Number Theory, vol. 14, pp. 67-82, 1982 DOI |
4 | L. E. Dickson, 'Cyclotomy, higher congruences, and Waring's problem,' Amer. J. Math., vol. 57, pp. 391-424, 1935 DOI ScienceOn |
5 | R. Lidl and H. Niederreiter, Finite Fields, vol. 20 of Encyclopedia of Mathematics and Its Applications Reading, MA: Addison-Wesley, 1983 |
6 | R. J. McEliece and H. C. Rumsey, 'Euler products, cyclotomy, and coding,' J. Number Theory, vol. 4, pp. 302-311, 1972 DOI |
7 | T. Helleseth, S.-H. Kim, and J.-S. No, 'Linear complexity over and trace representation of Lempel-Cohn-Eastman sequences,' IEEE Trans. Inform. Theory, vol. 49, no. 6, pp. 1548-1552, June 2003 DOI ScienceOn |
8 | Tae-Hyung Lim, Young-Sik Kim, Jung-Soo Chung, Jong-Seon No, and Habong Chung, 'On the relationship of Sidel'nikov sequences,' ISITA 2006(International Symposium on Information Theory and its Applications, Seoul, Korea), Oct. 29 - Nov. 1, 2006, pp. 934-937 |
9 | A. Lempel, M. Cohn, and W. L. Eastman, 'A class of balanced binary sequences with optimal autocorrelation properties,' IEEE Trans. Inform. Theory, vol. 23, no. 1, pp. 38-42, Jan. 1977 DOI |
10 | T. Storer, Cyclotomy and Difference Sets, Lectures in Advanced Mathematics Chicago, IL: Markham, 1967 |