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JCO
2010
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13 years 5 months ago
New error-correcting pooling designs associated with finite vector spaces
Let Fn q be a n-dimensional vector space over Fq. In this paper we construct a new family of inclusion matrices associated with subspaces of Fn q, and exhibit their disjunct proper...
Jizhu Nan, Jun Guo
COMBINATORICS
1998
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13 years 10 months ago
Finite Vector Spaces and Certain Lattices
The Galois number Gn(q) is defined to be the number of subspaces of the n-dimensional vector space over the finite field GF(q). When q is prime, we prove that Gn(q) is equal to...
Thomas W. Cusick