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math.CO2003★ 2 cited
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…
math.CO2003★ 4 cited
New lower bounds for the maximal determinant problem
William P. Orrick, Bruce Solomon, Roland Dowdeswell +1
We report new world records for the maximal determinant of an n-by-n matrix with entries +/-1. Using various techniques, we beat existing records for n=22, 23, 27, 29, 31, 33, 34,…