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Thwarts in transversal designs (1995)

Colbourn, Charles J. ; Dinitz, Jeffrey H. ; Wojtas, Mieczyslaw

Springer

Designs, codes and cryptography 5 (1995), S. 189-197

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ISSN: 1573-7586

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract A subset of points in a transversal design is athwart if each block in the design has one of a small number of intersection sizes with the subset. Applications to the construction of mutually orthogonal latin squares are given. One particular case involves inequalities for the minimum number of distinct symbols appearing in an α×β subarray of an×n latin square. Using thwarts, new transversal designs are determined for orders 408, 560, 600, 792, 856, 1046, 1059, 1368, 2164, 2328, 2424, 3288, 3448, 3960, 3992, 3994, 4025, 4056, 4824, 5496, 6264, 7768, 7800, 8096, and 9336.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01388383

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