Embedding cocyclic D-optimal designs in cocyclic Hadamard matrices

Details Embedding cocyclic D-optimal designs in cocyclic Hadamard matrices Embedding cocyclic D-optimal designs in cocyclic Hadamard matrices

2012-01-20

arxiv.org/abs/1201.4332v1

Mathematics

Combinatorics

17 pages, 0 figures

Scientific paper

In this paper a method for embedding cocyclic submatrices with ``large'' determinants of orders 2t in certain cocyclic Hadamard matrices of orders 4t is described (t an odd integer). If these determinants attain the largest possible value, we are embedding D-optimal designs. Applications to the pivot values that appear when Gaussian Elimination with complete pivoting is performed on these cocyclic Hadamard matrices are studied.

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