|
This article is cited in 4 scientific papers (total in 4 papers)
On transversals of homogeneous Latin squares
V. V. Borisenko LLC "Certification Research Center", Moscow
Abstract:
We consider homogeneous Latin squares, i.e. Latin squares of order $2n$ with elements from $\{0,\dots,2n-1\}$ such that after reducing modulo $n$ we obtain $2n\times2n$-matrix consisting of four identical Latin squares of order $n$. The set of all transversals of homogeneous Latin squares is described in a general case; homogeneous Latin squares of order 10 are considered in more detail.
Key words:
Latin square, transversal, transversal codes.
Received 30.V.2014
Citation:
V. V. Borisenko, “On transversals of homogeneous Latin squares”, Mat. Vopr. Kriptogr., 6:3 (2015), 5–17
Linking options:
https://www.mathnet.ru/eng/mvk157https://doi.org/10.4213/mvk157 https://www.mathnet.ru/eng/mvk/v6/i3/p5
|
Statistics & downloads: |
Abstract page: | 397 | Full-text PDF : | 197 | References: | 50 | First page: | 8 |
|