Mutually Orthogonal Latin Squares as Group Transversals
-
Rohitesh Pradhan
and
Vivek Kumar Jain
Abstract
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.
Note
Originally published in Diskretnaya Matematika (2023) 35, №4, 82–87 (in Russian).
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- On the existence of special nonlinear invariants for round functions of XSL-ciphers
- Asymptotic local probabilities of large deviations for branching process in random environment with geometric distribution of descendants
- Decomposition of polynomials using the shift-composition operation
- Mutually Orthogonal Latin Squares as Group Transversals
- Explicit basis for admissible rules in K-saturated tabular logics
- Criteria for maximal nonlinearity of a function over a finite field
Articles in the same Issue
- Frontmatter
- On the existence of special nonlinear invariants for round functions of XSL-ciphers
- Asymptotic local probabilities of large deviations for branching process in random environment with geometric distribution of descendants
- Decomposition of polynomials using the shift-composition operation
- Mutually Orthogonal Latin Squares as Group Transversals
- Explicit basis for admissible rules in K-saturated tabular logics
- Criteria for maximal nonlinearity of a function over a finite field
