New Nonexistence Results on Circulant Weighing Matrices
Document Type
Article
Publication Date
2019
Abstract
A circulant weighing matrix W = (wi,j ) ∈ CW(n, k) is a square matrix of order n and entries wi,j in {-1, 0, +1} such that WWT = kIn. In his thesis [7], Strassler gave tables of known results on such matrices with n ≤ 200 and k ≤ 100. In the latest version of Strassler’s tables given by Tan [8], there are 34 open cases remaining. In this paper we resolve six of these cases, showing that there are no weight 81 CW matrices for n = 110, 130, 143 or 154, and also no CW(116, 49) or CW(143, 36).
Repository Citation
Arasu, K. T.,
Gordon, D. M.,
& Zhang, Y.
(2019). New Nonexistence Results on Circulant Weighing Matrices. .
https://corescholar.libraries.wright.edu/math/327
