Existence of Five MOLS of Orders 18 and 60

DOI10.1002/jcd.21384zbMath1310.05030OpenAlexW1843403350MaRDI QIDQ5249057

R. Julian R. Abel

Publication date: 29 April 2015

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.21384

zbMATH Keywords

MOLSorthogonal arraydifference matrix

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (18)

Implementing Brouwer's database of strongly regular graphs ⋮ Group divisible packings and coverings with any minimum leave and minimum excess ⋮ On generalized Howell designs with block size three ⋮ Group divisible designs with block size four and type \(g^ub^1 (gu/2)^1\) ⋮ Existence of incomplete canonical Kirkman packing designs ⋮ A construction of \(t\)-fold perfect splitting authentication codes with equal deception probabilities ⋮ Frames and doubly resolvable group divisible designs with block size three and index two ⋮ Constructions for new orthogonal arrays based on large sets of orthogonal arrays ⋮ Uniformly resolvable designs with block sizes 3 and 4 ⋮ Some new group divisible designs with block size 4 and two or three group sizes ⋮ On existence of two classes of generalized Howell designs with block size three and index two ⋮ Some constructions for \(t\) pairwise orthogonal diagonal Latin squares based on difference matrices ⋮ Super-simple \((5, 4)\)-GDDs of group type \(g^u\) ⋮ A lower bound on permutation codes of distance \(n-1\) ⋮ Existence of incomplete canonical Kirkman covering designs ⋮ Unnamed Item ⋮ Permutation codes invariant under isometries ⋮ Difference matrices with five rows over finite abelian groups

Cites Work

• Existence of 2 SOLS and 2 ISOLS
• Four Mutually Orthogonal Latin Squares of Order 14
• Concerning seven and eight mutually orthogonal Latin squares

This page was built for publication: Existence of Five MOLS of Orders 18 and 60