On the Smith normal form of a skew-symmetric D-optimal design of order n≡2 (mod4)

• المؤلفون الرئيسيون: Greaves, Gary Royden Watson, Suda, Sho
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2021
• الموضوعات: Science::Mathematics; D‐optimal Design; EW Tournament Matrix
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/146670
• المؤسسة: Nanyang Technological University

We show that the Smith normal form of a skew‐symmetric D‐optimal design of order n≡2 (mod 4) is determined by its order. Furthermore, we show that the Smith normal form of such a design can be written explicitly in terms of the order n, thereby proving a recent conjecture of Armario. We apply our re...