Circulant weighing designs

Journal of Combinatorial Designs

Volumn 4, Issue 6, 1996, Pages 439-447

  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: 0042893897     PISSN: 10638539     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1520-6610(1996)4:6<439::AID-JCD4>3.0.CO;2-G     Document Type: Article

References (15)

1. K. T. Arasu, J. F. Dillon, D. Jungnickel, and A. Pott, The solution of the Waterloo problem, J. Combin. Theory Ser. A, in press.
2. K. T. Arasu, D. Jungnickel, S. L. Ma, and A. Pott, Relative difference sets with n = 2, to appear in Discrete Math.
3. K. T. Arasu and D. K. Ray-Chaudhuri, Multiplier theorem for a difference list, Ars Combin., 22 (1986), 119-138.
4. P. Eades, On the existence of orthogonal designs, Ph.D. Thesis, Australian National University, Canberra, 1977.
5. P. Eades and R. M. Hain, On circulant weighing matrices, Ars. Combin. 2 (1976), 265-284.
6. A. V. Geramita and J. Seberry, Orthogonal designs: Quadratic forms and Hadamard matrices, Marcel Dekker, New York-Basel, 1979.
7. R. M. Hain, Circulant weighing matrices, Master of Science Thesis, Australian National University, Canberra, 1977.
8. [8) S. L. Ma, Polynomial addition sets, Ph.D. Thesis, University of Hong Kong, 1985.
9. H. B. Mann, Addition theorems, Wiley, New York, 1965.
10. R. L. McFarland, On multipliers of Abelian difference sets, Ph.D. Thesis, Ohio State University, 1970.
11. 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, 1975, pp. 28-41.
12. J. Seberry Wallis and A. L. Whiteman, Some results on weighing matrices, Bull. Austral. Math. Sec. 12 (1975), 433-447.
13. Y. Strassler, "Circulant weighing matrices of prime order and weight 9 having a multiplier," talk presented at Hadamard Centenary Conference, Wollongong, Australia, December, 1993.
14. _, "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.
15. R. J. Turyn, Character sums and difference sets, Pacific J. Math. 15 (1965), 319-346.