Circulant weighing matrices

The existence status of previously open cases of circulant weighing matrices will be established using various techniques. The results fill in 52 missing entries in Strassler’s table of circulant weighing matrices (Strassler 1997), which considers matrices of order 1–200 with weight k ≤ 100.

[1]  Ali Nabavi,et al.  Determination of all possible orders of weight 16 circulant weighing matrices , 2006, Finite Fields Their Appl..

[2]  Richard Hain.  Circulant weighing matrices , 1977 .

[3]  K. T. Arasu.  A reduction theorem for circulant weighing matrices , 1998, Australas. J Comb..

[4]  K. T. Arasu,et al.  Some New Results on Circulant Weighing Matrices , 2001 .

[5]  Peter Eades,et al.  On the existence of orthogonal designs , 1978, Bulletin of the Australian Mathematical Society.

[6]  Siu Lun Ma,et al.  Polynomial addition sets , 1985 .

[7]  Albert Leon Whiteman,et al.  Some results on weighing matrices , 1975, Bulletin of the Australian Mathematical Society.

[8]  R. McFarland,et al.  On multipliers of abelian difference sets , 1970 .

[9]  R. Turyn.  Character sums and difference sets. , 1965 .

[10]  D. Jungnickel,et al.  The Solution of the Waterloo Problem , 1995, J. Comb. Theory, Ser. A.

[11]  Jennifer Seberry,et al.  Orthogonal Designs: Quadratic Forms and Hadamard Matrices , 1979 .

[12]  Hai-Ping Ko,et al.  Multiplier Theorems , 1981, J. Comb. Theory, Ser. A.

[13]  K. T. Arasu,et al.  Study of proper circulant weighing matrices with weight 9 , 2008, Discret. Math..

[14]  Dieter Jungnickel,et al.  Relative difference sets with n = 2 , 1995, Discret. Math..

[15]  Yoseph Strassler,et al.  New circulant weighing matrices of prime order in CW(31,16), CW(71,25), CW(127,64) , 1998 .

[16]  J. N. Srivastava,et al.  Bose Memorial Conference on Statistical Design and Related Combinatorics. , 1995 .

[17]  Jennifer Seberry,et al.  Circulant weighing designs , 1996 .

[18]  R. Mullin,et al.  A note on balanced weighing matrices , 1975 .