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q-analogues of t-designs and their existence - MaRDI portal

q-analogues of t-designs and their existence (Q1825199)

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scientific article; zbMATH DE number 4120183
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English
q-analogues of t-designs and their existence
scientific article; zbMATH DE number 4120183

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    q-analogues of t-designs and their existence (English)
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    1989
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    It is shown that a t-[v,k,\(\lambda\) ] design in a vector space of dimension v over a finite field exists for all sufficiently large \(\lambda\) when the necessary parametric conditions are satisfied. A reciprocity relation for the number of distinct t-[v,k,\(\lambda\) ] designs is also obtained.
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    t-[v,k,lambda] design
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