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On the structure and classification of SOMAs: Generalizations of mutually orthogonal Latin squares

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Publication:1305167
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zbMath0922.05010MaRDI QIDQ1305167

Leonard H. Soicher

Publication date: 3 October 1999

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/119940


zbMATH Keywords

mutually orthogonal Latin squares


Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Foundations of classical theories (including reverse mathematics) (03B30)


Related Items (11)

On generalized Howell designs with block size three ⋮ Uniform Semi-Latin Squares and Their Schur-Optimality ⋮ On the structure of 1-designs with at most two block intersection numbers ⋮ Generalized packing designs ⋮ Multi-part balanced incomplete-block designs ⋮ On existence of two classes of generalized Howell designs with block size three and index two ⋮ Minimal and canonical images ⋮ Every SOMA\((n - 2, n)\) is Trojan ⋮ Symmetric factorial designs in blocks ⋮ Multi-Latin squares ⋮ Designs, Groups and Computing


Uses Software

  • nauty
  • GRAPE



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