Some New Results on Circulant Weighing Matrices
Document Type
Article
Publication Date
9-1-2001
Abstract
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 < 62.
Repository Citation
Arasu, K. T.,
& Ma, S. L.
(2001). Some New Results on Circulant Weighing Matrices. Journal of Algebraic Combinatorics, 14 (2), 91-101.
https://corescholar.libraries.wright.edu/math/561
DOI
10.1023/A:1011903510338
