On the Existence of Abelian Hadamard Difference Sets and a New Family of Difference Sets

Finite Fields and their Applications

Volumn 3, Issue 3, 1997, Pages 234-256

  Chen, Yu Qing ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040060370     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1006/ffta.1997.0184     Document Type: Article

References (16)

1. Baumert L. D., Mills W. H., Ward R. L. Uniform cyclotomy. J. Number Theory. 14:1982;67-82.
2. Calderbank A. R., Kantor W. M. The geometry of two-weight codes. Bull. London Math. Soc. 18:1986;97-122.
3. J. A. Davis, J. Jedwab, A unifying construction for difference sets.
4. 24.
5. Hirschfeld J. W. P. Finite Projective Spaces of Three Dimensions. 1985;Oxford Univ. Press, New York.
6. Jungnickel D. Finite Fields: Structure and Arithmetic. 1993;BI-Wissenschaftsverlag, Mannheim.
7. Lang S. Algebraic Number Theory. 1986;Springer-Verlag, New York/Berlin.
8. Lidl R., Niederreiter H. Introduction to Finite Fields and Their Applications. 1994;Cambridge Univ. Press, Cambridge.
9. McFarland R. L. A family of difference sets in non-cyclic groups. J. Combin. Theory Ser. A. 15:1973;1-10.
10. Pott A. Finite Geometry and Character Theory. Lecture Notes in Mathematics. 1601:1995;Springer-Verlag, New York/Berlin.
11. Spence E. A family of difference sets. J. Combin. Theory Ser. A. 22:1977;103-106.
12. Turyn R. J. A special class of Williamson matrices and difference sets. J. Combin. Theory Ser. A. 36:1984;111-115.
13. Turyn R. J. Character sums and difference sets. Pacific J. Math. 15:1965;319-346.
14. R. M. Wilson, Q. Xiang, Constructions of Hadamard difference sets.
15. Xia M. Y. Some infinite classes of special Williamson matrices and difference sets. J. Combin. Theory Ser. A. 61:1992;230-242.
16. Xiang Q., Chen Y. Q. On Xia's construction of Hadamard difference sets. Finite Fields Appl. 2:1996;87-95.