منابع مشابه
On circulant and two-circulant weighing matrices
We employ theoretical and computational techniques to construct new weighing matrices constructed from two circulants. In particular, we construct W (148, 144), W (152, 144), W (156, 144) which are listed as open in the second edition of the Handbook of Combinatorial Designs. We also fill a missing entry in Strassler’s table with answer ”YES”, by constructing a circulant weighing matrix of orde...
متن کاملOn circulant weighing matrices
Algebraic techniques are employed to obtain necessary conditions for the existence of certain circulant weighing matrices. As an application we rule out the existence of many circulant weighing matrices. We study orders n = 8 +8+1, for 10 ~ 8 ~ 25. These orders correspond to the number of points in a projective plane of order 8.
متن کاملSome New Results on Circulant Weighing Matrices
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 i...
متن کاملk-Circulant Supersaturated Designs
A class of supersaturated designs called k-circulant designs is explored. These designs are constructed from cyclic generators by cycling k elements at a time. The class of designs includes many Es2-optimal designs, some of which are already known and some of which are more ef cient than known designs for model estimation under factor sparsity. Generators for the most ef cient designs are lis...
متن کاملA reduction theorem for circulant weighing matrices
Circulant weighing matrices of order n with weight k, denoted by WC(n, k), are investigated. Under some conditions, we show that the existence of WC(n, k) implies that of WCG, ~). Our results establish the nonexistence of WC(n,k) for the pairs (n,k) = (125,25), (44,36), (64,36), (66,36), (80,36), (72,36), (118,36), (128,36), (136,36), (128,100), (144,100), (152,100), (88,36), (132,36), (160,36)...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Designs
سال: 1996
ISSN: 1063-8539,1520-6610
DOI: 10.1002/(sici)1520-6610(1996)4:6<439::aid-jcd4>3.0.co;2-g