In this paper, a new family of relative difference sets with parameters Γ°m; n; k; lΓ ΒΌ ððq 7 Γ 1Γ=Γ°q Γ 1Γ; 4Γ°q Γ 1Γ; q 6 ; q 5 =4Γ is constructed where q is a 2-power. The construction is based on the technique used in [2]. By a similar method, we also construct some new circulant weighing matrices
Constructing weighing matrices by the method of weaving
β Scribed by R. Craigen
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 539 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1063-8539
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β¦ Synopsis
We describe a way of obtaining new weighing matrices from old, which we call weaving because it involves distributing rows and columns of given matrices along the columns and rows of an array to form a partitioned matrix whose blocks have rank one. The method generalizes both the direct sum and direct product of matrices. We use the method to construct some new weighing matrices of relatively small order. 0 1995 John W h y & Soos, Inc.
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## Abstract We provide a classification method of weighing matrices based on a classification of selfβorthogonal codes. Using this method, we classify weighing matrices of orders up to 15 and order 17, by revising some known classification. In addition, we give a revised classification of weighing
A new method to reduce the solution time of matrices generated by the Boundary Element Method is presented here. The method involves converting the fully populated system into a banded system by lumping certain coefficients of the matrix into fictitious nodes and then constraining these nodes to acc