On balanced binary sequences with two-level autocorrelation functions

IEEE Transactions on Information Theory

Volumn 44, Issue 7, 1998, Pages 3153-3156

  Xiang, Qing ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

Autocorrelation functions; Cyclic difference sets; Hadamard transform; Linear spans; Monomial hyperovals

Indexed keywords

ALGEBRA; BINARY SEQUENCES; MATHEMATICAL TRANSFORMATIONS; SET THEORY; THEOREM PROVING;

AUTOCORRELATION FUNCTIONS; CYCLIC DIFFERENCE SETS; DIFFERENCE SETS; HADAMARD TRANSFORMS; MONOMIAL HYPEROVALS;

CORRELATION THEORY;

EID: 0032201961     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.737547     Document Type: Article

References (7)

1. W. E. Cherowitzo and L. Storme, "α-flocks with oval herds and monomial hyperovals," preprint.
2. T. Cusick and H. Dobbertin, "Some new 3-valued crosscorrelation functions of binary m-sequences," IEEE Trans. Inform. Theory, vol. 42, pp. 1238-1240, 1996.
3. D. Glynn, "Two new sequences of ovals in finite Desarguesian planes of even order," Lecture Notes in Mathematics, vol. 1036. Berlin, Germany: Springer, 1983, pp. 217-229.
4. R. Gold, "Maximal recursive sequences with 3-valued recursive cross-correlation functions," IEEE Trans. Inform. Theory, vol. IT-14, pp. 154-156, Jan. 1968.
5. S. W. Golomb, "The use of combinatorial structures in communication signal design," in Application of Combinatorial Mathematics, C. Mitchell, Ed. Oxford, U.K.: Clarendon, 1997, pp. 59-78.
6. A. Maschietti, "Difference sets and hyperovals," Des., Codes Cryptogr., vol. 14, pp. 89-98, 1998.
7. M. K. Simon, J. K. Omura, R. A. Scholtz, and B. K. Levitt, Spread Spectrum Communications, vol. 1. Reading, MA: Computer Science, 1985.