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Incomplete orthogonal arrays and idempotent orthogonal arrays

โœ Scribed by Francis Maurin


Book ID
105329622
Publisher
Springer Japan
Year
1996
Tongue
English
Weight
703 KB
Volume
12
Category
Article
ISSN
0911-0119

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On incomplete orthogonal arrays
โœ Francis Maurin ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 144 KB
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โœ F.E Bennett; L Zhu ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 914 KB

Let us denote by COILS(v) a (3, 2, 1)-conjugate orthogonal idempotent Latin square of order v, and by ICOILS(v, n) an incomplete COILS(v) missing a sub-COILS(n). We shall investigate the existence of ICOILS(v, n). The construction of an ICOILS(8, 2) has already been instrumental in the construction

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โœ H. Kharaghani ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 106 KB

for some permutation ' of the set f1Y 2Y F F F Y 2ng. An inยฎnite number of arrays which are suitable for any amicable set of eight circulant matrices are introduced. Applications include new classes of orthogonal designs.