On circulant weighing matrices

Australasian Journal of Combinatorics

Volumn 17, Issue , 1998, Pages 21-37

  Arasu, K T ^a   Seberry, Jennifer ^b  

^a WRIGHT STATE UNIVERSITY   (United States)

^b UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24944484037     PISSN: 10344942     EISSN: 22023518     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. K. T. Arasu, J. F. Dillon, D. Jungnickel and A. Pott, The solution of the Waterloo problem, J. Comb. Th. (A), 17, (1995), 316-331.
2. K. T. Arasu, D. Jungnickel, S. L. Ma, and A. Pott, Relative difference sets with n = 2, Discr. Math., 147, (1995), 1-17.
3. K. T. Arasu and D. K. Ray-Chaudhuri, Multiplier theorem for a difference list, Ars Comb., 22 (1986), 119-138.
4. K. T. Arasu and Jennifer Seberry, Circulant weighing designs, Journal of Combinatorial Designs, 4 (1996), 439-447.
5. K. T. Arasu and Qing Xiang, Multiplier theorems, J. Combinatorial Designs, 3, (1995), 257-268.
6. P. Eades, On the Existence of Orthogonal Designs, Ph. D. Thesis, Australian National University, Canberra, (1977).
7. P. Eades and R. M. Hain, On circulant weighing matrices, Ars. Combinatoria 2, (1976), 265-284.
8. A. V. Geramita and J. Seberry, Orthogonal Designs: Quadratic Forms and Hadamard Matrices, Marcel Decker, New York-Basel, (1979).
9. R. M. Hain, Circulant Weighing Matrices, Master of Science Thesis, Australian National University, Canberra, (1977).
10. S. L. Ma, Polynomial Addition Sets, Ph. D. Thesis, University of Hong Kong, (1985).
11. H. B. Mann, Addition Theorems, Wiley, New York, (1965).
12. R. L. McFarland, On Multipliers of Abelian Difference Sets, Ph. D. Thesis, Ohio State University, (1970).
13. R. C. Mullin, A note on balanced weighing matrices, Combinatorial Mathematics III: Proceedings of the Third Australian Conference, in Lecture Notes in Mathematics, Vol. 452, Springer-Verlag, Berlin-Heidelberg-New York, 28-41, (1975).
14. Jennifer Seberry, Asymptotic existence of some orthogonal designs, J. Combinatorial Theory, Ser A, (submitted).
15. J. Seberry Wallis and A. L. Whiteman, Some results on weighing matrices, Bull. Austral. Math. Sec. 12, (1975), 433-447.
16. Y. Strassler, "Circulant weighing matrices of prime order and weight 9 having a multiplier", talk presented at Hadamard Centenary Conference, Wollongong, Australia, December, 1993.
17. Y. Strassler, "New circulant weighing matrices of prime order in CW(31, 16), CW(71, 25), CW(127, 64)", paper presented at the R. C. Bose Memorial Conference on Statistical Design and Related Combinatorics, Colorado State University, 7-11 June, 1995.
18. Y. Strassler, personal communication to K. T. Arasu and Jennifer Seberry of results contained in his PhD Thesis which has yet to be published.
19. R. J. Turyn, Character sums and difference sets, Pac. J. Math. 15, (1965), 319-346.