Two new classes of difference families (Q1570765)

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scientific article; zbMATH DE number 1474641
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Two new classes of difference families
scientific article; zbMATH DE number 1474641

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    Two new classes of difference families (English)
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    20 September 2000
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    Using elementary geometry on a finite field of order \(q\) classes of \((q^2,k,k-1)\) and \((q^2,k+1,k+1)\) difference families are constructed, where \(k=m(q-1)\) and \(q+1=mn\). There are \((q+1)!/n!(m!)^n\) ways to apply the theorem.
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    difference families
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    geometry on a finite field
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