1. Linked systems of symmetric group divisible designs of type II
- Author
-
Hadi Kharaghani and Sho Suda
- Subjects
Applied Mathematics ,010102 general mathematics ,0102 computer and information sciences ,Graeco-Latin square ,01 natural sciences ,Computer Science Applications ,Combinatorics ,symbols.namesake ,Association scheme ,010201 computation theory & mathematics ,Symmetric group ,symbols ,Affine transformation ,0101 mathematics ,Equivalence (formal languages) ,Mathematics - Abstract
Linked systems of symmetric group divisible designs of type II are introduced, and several examples are obtained from affine resolvable designs and a variant of mutually orthogonal Latin squares. Furthermore, an equivalence between such symmetric group divisible designs and some association schemes with 5-classes is provided.
- Published
- 2019
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