Results 11 to 20 of about 471,705 (269)
Discrete Applied Mathematics, 1992 The present authors introduced a new type of latin squares which they called perfect latin squares. Perfect latin squares were defined by the authors as special diagonal latin squares. \textit{E. Gergely} showed a general method to construct diagonal latin squares of any order \(n\geq 4\), see J. Comb. Theory, Ser. A 16, 266--272 (1974; Zbl 0272.05015).
Heinrich, Katherine +2 more
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Discrete Mathematics, 2011 A multi-latin square of order $n$ and index $k$ is an $n\times n$ array of multisets, each of cardinality $k$, such that each symbol from a fixed set of size $n$ occurs $k$ times in each row and $k$ times in each column. A multi-latin square of index $k$ is also referred to as a $k$-latin square. A $1$-latin square is equivalent to a latin square, so a
Cavenagh, Nicholas +3 more
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Realizing Optimal All-to-All Personalized Communication Using Butterfly-Based Networks
IEEE Access, 2023 The communication network is a key component in parallel and distributed systems, high-performance computing (HPC) systems and Data Centers, as information exchange has a key role in communication-intensive applications.
Daniele Izzi, Annalisa Massini
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The set of autotopisms of partial Latin squares [PDF]
, 2011 Symmetries of a partial Latin square are determined by its autotopism group. Analogously to the case of Latin squares, given an isotopism $\Theta$, the cardinality of the set $\mathcal{PLS}_{\Theta}$ of partial Latin squares which are invariant under ...
Falcón, R. M.
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Anti-Ramsey theory on complete bipartite graphs
AKCE International Journal of Graphs and Combinatorics, 2020 We consider quadruples of positive integers with and such that every proper edge-coloring of the complete bipartite graph contains a rainbow subgraph. We show that every such quadruple with and satisfies this property and find an infinite sequence where ...
Stephan Cho +3 more
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Interference Alignment Schemes Using Latin Square for K
IEEE Access, 2019 In this paper, we study an interference alignment (IA) scheme with finite time extension and beamformer selection method with low computational complexity for X channel. An IA scheme with a chain structure by the Latin square is proposed for $K \times 3$
Young-Sik Moon +3 more
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Mathematics: What’s Spatial, What’s Not
Quaestiones Geographicae, 2015 Probably, almost everyone has some idea of what is meant by the words ‘spatial mathematics.’ The problem is that 100 people have 100 different ideas, because the concept is not easy to codify. In this paper we suggest a few ways to illustrate differences
Arlinghaus William C.
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Classification of Latin squares [PDF]
Journal of Agricultural Sciences (Belgrade), 2002 Efficacy and profitability of results and eventually the conclusions of an experiment were found to depend on the statistical model for organizing an experiment.
Lakić Nada S.
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A Hybrid Cryptosystem based on Latin Square and the Modified BB84 Quantum Key Distribution
Tikrit Journal of Pure Science, 2022 A new algorithm to improve the security of the transmitted data over the communication channels is presented in this paper. This algorithm is combining Latin square with the modified version of the BB84 Quantum Key Distribution protocol. As the order of
Hamza B. Habib +2 more
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Applications of design theory for the constructions of MDS matrices for lightweight cryptography
Journal of Mathematical Cryptology, 2017 In this paper, we observe simple yet subtle interconnections among design theory, coding theory and cryptography. Maximum distance separable (MDS) matrices have applications not only in coding theory but are also of great importance in the design of ...
Gupta Kishan Chand +2 more
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