Algebraic constructions of optimal frequency-hopping sequences

IEEE Transactions on Information Theory

Volumn 53, Issue 7, 2007, Pages 2606-2610

  Ding, Cunsheng ^a   Moisio, Marko J ^b   Yuan, Jin ^c  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b UNIVERSITY OF VAASA   (Finland)

^c MACQUARIE UNIVERSITY   (Australia)

Author keywords

Direct sequence spread spectrum; Frequency hopping sequence; Frequency hopping spread spectrum; Norm function; Perfect nonlinear function

Indexed keywords

DIRECT SEQUENCE SPREAD SPECTRUM; FREQUENCY-HOPPING SEQUENCE; FREQUENCY-HOPPING SPREAD SPECTRUM; NORM FUNCTION; PERFECT NONLINEAR FUNCTION;

ALGEBRA; CODE DIVISION MULTIPLE ACCESS; DIRECT SEQUENCE SYSTEMS; ENCODING (SYMBOLS); FUNCTIONS; INFORMATION THEORY; SPREAD SPECTRUM COMMUNICATION;

FREQUENCY HOPPING;

EID: 34447300705     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2007.899545     Document Type: Article

References (12)

1. p)," Discrete Math., vol. 112, pp. 249-252, 1993.
2. C. Carlet and C. Ding, "Highly nonlinear mappings," J. Complex., vol. 20, pp. 205-244, 2004.
3. W. Chu and C. J. Colbourn, "Optimal frequency-hopping sequences via cyclotomy," IEEE Trans. Inf. Theory, vol. IT-51, pp. 1139-1141, 2005.
4. p) exist for all primes p," Graphs Combin., vol. 8, pp. 317-321, 1992.
5. R. Fuji-Hara, Y. Miao, and M. Mishima, "Optimal frequency hopping sequences: A combinatorial approach," IEEE Trans. Inf. Theory, vol. IT-50, pp. 2408-2420, 2004.
6. G. Ge, R. Fuji-Hara, and Y. Miao, "Further combinatorial constructions for optimal frequency hopping sequences," J. Combinator. Theory Ser. A, vol. 113, pp. 1699-1718, 2006.
7. P. V. Kumar, "Frequency-hopping code sequence designs having large linear span," IEEE Trans. Inf. Theory, vol. IT-34, pp. 146-151, 1988.
8. A. Lempel and H. Greenberger, "Families of sequences with optimal Hamming correlation properties," IEEE Trans. Inf. Theory, vol. IT-20, pp. 90-94, 1974.
9. R. Lidl and H. Niederreiter, Finite Fields. Cambridge, U.K.: Cambridge Univ. Press, 1997.
10. D. Peng and P. Fan, "Lower bounds on the Hamming auto- and cross correlations of frequency-hopping sequences," IEEE Trans. Inf. Theory, vol. IT-50, pp. 2149-2154, 2004.
11. R. A. Scholtz, "The spread spectrum concept," IEEE Trans. Commun. vol. COM-25, pp. 748-755, 1977.
12. P. Udaya and M. N. Siddiqi, "Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings," IEEE Trans. Inf. Theory, vol. IT-44, pp. 1492-1503, 1998.