R. Staszewski

most citedIsometry invariant permutation codes and mutually orthogonal Latin squares

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math.CO2024

Improvements for lower bounds of mutually orthogonal Latin squares of sizes $54$ , $96$ and $108$

R. Julian R. Abel, Ingo Janiszczak, Reiner Staszewski

We will show that there are at least 8, 10 and 9 mutually orthogonal Latin squares (MOLS) of orders $n = 54$ , $96$ and $108$ . The cases $n = 54$ and $96$ are obtained by constructing s…

math.CO2018★ 10 cited

Isometry invariant permutation codes and mutually orthogonal Latin squares

Ingo Janiszczak, Reiner Staszewski

Commonly the direct construction and the description of mutually orthogonal Latin squares (MOLS) makes use of difference or quasi-difference matrices. Now there exists a correspond…

Improvements for lower bounds of mutually orthogonal Latin squares of sizes 54, 96 and 108

Isometry invariant permutation codes and mutually orthogonal Latin squares

Improvements for lower bounds of mutually orthogonal Latin squares of sizes $54$ , $96$ and $108$