91 citations · 261 across the 13 of their papers we have counts for
13 papers
Maximal determinants and saturated D-optimal designs of orders 19 and 37
Richard P. Brent, William Orrick, Judy-anne Osborn +1
A saturated D-optimal design is a {+1,-1} square matrix of given order with maximal determinant. We search for saturated D-optimal designs of orders 19 and 37, and find that known…
Holonomy of the Ising model form factors
S. Boukraa, S. Hassani, J. -M. Maillard +3
We study the Ising model two-point diagonal correlation function by presenting an exponential and form factor expansion in an integral representation which differs from t…
On the enumeration of some D-optimal designs
William P. Orrick
Two matrices with elements taken from the set {-1,1} are Hadamard equivalent if one can be converted into the other by a sequence of permutations of rows and columns, and negations…
Switching operations for Hadamard matrices
William P. Orrick
We define several operations that switch substructures of Hadamard matrices thereby producing new, generally inequivalent, Hadamard matrices. These operations have application to t…
The maximal {-1,1}-determinant of order 15
William P. Orrick
We study the question of finding the maximal determinant of matrices of odd order with entries {-1,1}. The most general upper bound on the maximal determinant, due to Barba, can on…
Large-determinant sign matrices of order 4k+1
William P. Orrick, Bruce Solomon
The Hadamard maximal determinant problem asks for the largest n-by-n determinant with entries in {+1,-1}. When n is congruent to 1 (mod 4), the maximal excess construction of Farma…