Geodesic
Some new results on circulant weighing matrices
Journal of Algebraic Combinatorics, Tome 14 (2001) no. 2, pp. 91-101.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We obtain a few structural theorems for circulant weighing matrices whose weight is the square of a prime number. Our results provide new schemes to search for these objects. We also establish the existence status of several previously open cases of circulant weighing matrices. More specifically we show their nonexistence for the parameter pairs $( n, k)$ (here $n$ is the order of the matrix and $k$ its weight) = (147, 49), (125, 25), (200, 25), (55, 25), (95, 25), (133, 49), (195, 25), ($11 w, 121$) for $w $
Keywords: weighing matrices, circulant, group rings, characters 
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     author = {Arasu, K.T. and Ma, Siu Lun},
     title = {Some new results on circulant weighing matrices},
     journal = {Journal of Algebraic Combinatorics},
     pages = {91--101},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2001__14_2_a6/}
}
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Arasu, K.T.; Ma, Siu Lun. Some new results on circulant weighing matrices. Journal of Algebraic Combinatorics, Tome 14 (2001) no. 2, pp. 91-101. http://geodesic.mathdoc.fr/item/JAC_2001__14_2_a6/