The maximal {-1,1}-determinant of order 15 |
| |
Authors: | William P Orrick |
| |
Institution: | (1) Department of Mathematics, Indiana University, Bloomington, IN 47405, USA |
| |
Abstract: | We demonstrate the D-optimality of the 15×15 −1,1-matrix discovered independently by Smith and Cohn. This matrix has determinant
25515×214 and is unique up to Hadamard equivalence. In addition, we confirm the previously established values of the maximal determinant
for all other odd orders up to 21, excluding 19, and we improve the upper bounds on the maximal determinant in orders 29,
33, and 37. |
| |
Keywords: | Maximal determinants {-1 1}-matrices D-optimal designs Gram matrices Backtracking search |
本文献已被 SpringerLink 等数据库收录! |
|