Please use this identifier to cite or link to this item: https://doi.org/10.1023/A:1011903510338
Title: Some New Results on Circulant Weighing Matrices
Authors: Arasu, K.T.
Ma, S.L. 
Keywords: Characters
Circulant
Group rings
Weighing matrices
Issue Date: Sep-2001
Citation: Arasu, K.T., Ma, S.L. (2001-09). Some New Results on Circulant Weighing Matrices. Journal of Algebraic Combinatorics 14 (2) : 91-101. ScholarBank@NUS Repository. https://doi.org/10.1023/A:1011903510338
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), (11w, 121) for w < 62.
Source Title: Journal of Algebraic Combinatorics
URI: http://scholarbank.nus.edu.sg/handle/10635/104168
ISSN: 09259899
DOI: 10.1023/A:1011903510338
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