Results 81 to 90 of about 4,277 (127)

Mutually Orthogonal Latin Squares as Group Transversals

Discrete Mathematics and Applications, 2023
In this paper, we give a method to determine a complete set of mutually orthogonal Latin squares of order m, where m is an odd prime or power of a prime, as a group transversal of a Frobenius group.
R. Pradhan, V. K. Jain
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Computing random r-orthogonal Latin squares

International Conference on Combinatorial Optimization and Applications, 2023
Two Latin squares of order $n$ are $r$-orthogonal if, when superimposed, there are exactly $r$ distinct ordered pairs. The spectrum of all values of $r$ for Latin squares of order $n$ is known. A Latin square $A$ of order $n$ is $r$-self-orthogonal if $A$
Sergey Bereg
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Error Control Codes Based Modified Orthogonal Latin Squares for High-Speed Cache Memories

2023 IEEE 16th Dallas Circuits and Systems Conference (DCAS), 2023
Traditionally, error control codes (ECCs) have been employed to protect cache memory from hard and soft errors. Single error correction (SEC) codes are commonly used in high-speed caches due to their simple and fast decoding circuitry.
R. A. Ahmed
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On a pair of orthogonal large sets of partitioned incomplete Latin squares

Journal of combinatorial designs (Print), 2022
In this article, we focus on the existence of orthogonal large sets of partitioned incomplete Latin squares (OLSPILS) of type 1pu1 . We prove that there exists an OLSPILS (1pu1) for any prime p≥7 and any odd integer u satisfying 3≤u≤3+2⌊(p−7)∕4⌋ , and ...
Dongliang Li, Cong Shen, Li Wang, H. Cao
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