Almost difference sets and their sequences with optimal autocorrelation

IEEE Transactions on Information Theory

Volumn 47, Issue 7, 2001, Pages 2934-2943

  Arasu, K T ^b   Ding, Cunsheng ^a,c   Helleseth, Tor ^a,d   Kumar, P Vijay ^a,e   Martinsen, Halvard M ^a,d  

^a IEEE

^b WRIGHT STATE UNIVERSITY   (United States)

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

^d UNIVERSITY OF BERGEN   (Norway)

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

Author keywords

Almost difference sets; Correlation; Cyclotomy; Difference sets; Divisible difference sets (DDSs); Relative difference sets; Sequence

Indexed keywords

BINARY SEQUENCES; CORRELATION METHODS; CRYPTOGRAPHY; EQUIVALENCE CLASSES;

DIFFERENCE SETS; OPTIMAL AUTOCORRELATION;

SET THEORY;

EID: 0035504037     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.959271     Document Type: Article

References (27)

1. Planar functions and planes of the Lenz-Barlotti class II
2. Almost difference sets and reversible difference sets
3. Multiplicative difference sets via additive characters
4. The differential cryptanalysis and design of the natural stream ciphers
5. Binary cyclotomic generators
6. Cryptographic counter generators
7. Several classes of sequences with three-level autocorrelation
8. New families of binary sequences with optimal three-level autocorrelation
9. Some new difference sets
10. Sequences with low correlation
11. Some power mappings with low differential uniformity
12. On automorphism groups of divisible designs
13. Difference sets
14. Difference sets: An introduction
15. A class of binary sequences with optimal autocorrelation properties
16. Sequences and arrays with perfect periodic correlation
17. On the ground states of the Bernasconi model
18. d + b
19. Some k-valued pseudo-random sequences and nearly equidistant codes
20. Recent results on difference sets with classical parameters