Ternary m-sequences with three-valued cross-correlation function: New decimations of Welch and Niho type

IEEE Transactions on Information Theory

Volumn 47, Issue 4, 2001, Pages 1473-1481

  Dobbertin, Hans ^a,b   Helleseth, Tor ^a,c   Kumar, P Vijay ^a,d   Martinsen, Halvard ^c  

^a IEEE   (United States)

^b UNIVERSITY OF KLAGENFURT   (Austria)

^c UNIVERSITY OF BERGEN   (Norway)

^d University of Southern California ^*  (United States)

Author keywords

Cross correlation function; Ternary m sequences

Indexed keywords

BINARY SEQUENCES; COMPUTER SIMULATION; EQUIVALENCE CLASSES; FUNCTIONS;

CROSS CORRELATION FUNCTION; DECIMATIONS; TERNARY SEQUENCES;

CORRELATION THEORY;

EID: 0035335583     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.923728     Document Type: Article

References (21)

1. On almost perfect nonlinear permutations
2. Binary m-sequences with three-valued cross correlation: A proof of Welch's conjecture
3. Planar functions and planes of the Lenz-Barlotti class II
4. Some new three-valued cross-correlation functions for binary m-sequences
5. Multiplicative difference sets via additive characters
6. Another proof of Kasami's theorem
7. n): The Welch case
8. n): The Niho case
9. Maximal recursive sequences with 3-valued recursive cross-correlation functions
10. Theory of transformation groups of polynomials over GF (2) with applications to linear shift register sequences
11. Some results about the cross-correlation function between two maximal linear sequences
12. Some power mappings with low differential uniformity
13. New families of almost perfect nonlinear mappings
14. A proof of the Welch and Niho conjectures on cross correlation of binary m-sequences
15. Weight distribution formula for some class of cyclic codes
16. Weight congruence for p-ary cyclic codes
17. Multi-valued cross-correlation functions between two maximal linear recursive sequences
18. Differentially uniform mappings for cryptography
19. On the differential uniformity of power mappings
20. Cross correlation properties of pseudorandom and related sequences
21. On the cross-correlation functions of maximal linear sequences