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The existence of large set of symmetric partitioned incomplete latin squares.
- Source :
-
Journal of Combinatorial Designs . May2020, Vol. 28 Issue 5, p384-406. 23p. - Publication Year :
- 2020
-
Abstract
- In this paper, we investigate the existence of large sets of symmetric partitioned incomplete latin squares of type gu (LSSPILSs) which can be viewed as a generalization of the well‐known golf designs. Constructions for LSSPILSs are presented from some other large sets, such as golf designs, large sets of group divisible designs, and large sets of Room frames. We prove that there exists an LSSPILS(gu) if and only if u ≥ 3, g(u − 1) ≡ 0 (mod 2), and (g, u) ≠ (1, 5). [ABSTRACT FROM AUTHOR]
- Subjects :
- *MAGIC squares
*DIVISIBILITY groups
*GOLF
*BLOCK designs
Subjects
Details
- Language :
- English
- ISSN :
- 10638539
- Volume :
- 28
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Designs
- Publication Type :
- Academic Journal
- Accession number :
- 142181794
- Full Text :
- https://doi.org/10.1002/jcd.21703