تقرير
Enumeration of Row-Column Designs
| العنوان: | Enumeration of Row-Column Designs |
|---|---|
| المؤلفون: | Jäger, Gerold, Markström, Klas, Öhman, Lars-Daniel, Shcherbak, Denys |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics Statistics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Computer Science - Discrete Mathematics, Mathematics - Statistics Theory |
| الوصف: | We computationally completely enumerate a number of types of row-column designs up to isotopism, including double, sesqui and triple arrays as known from the literature, and two newly introduced types that we call mono arrays and AO-arrays. We calculate autotopism group sizes for the designs we generate. For larger parameter values, where complete enumeration is not feasible, we generate examples of some of the designs, and generate exhaustive lists of admissible parameters. For some admissible parameter sets, we prove non-existence results. We also give some explicit constructions of sesqui arrays, mono arrays and AO-arrays, and investigate connections to Youden rectangles and binary pseud Youden designs. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.16444 |
| رقم الأكسشن: | edsarx.2406.16444 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |