Publisher
Florida Atlantic University
Description
Let V be an n-dimensional vector space over the field of q elements. By a geometric t-[qn,k,λ]
design we mean a collection D of k-dimensional subspaces if V, called blocks, such that every tdimensional
subspace T of V appears in exactly λ blocks in D. In a recent paper Braun, Kohnert,
Ӧstergård, and Wassermann constructed the first ever known large set LS[N][2,k,qn], namely an
LS[3][2,3,28] under a cyclic group G of order 255. In this work we construct an additional 8 large
sets with the same parameters, using the L3 algorithm for lattice basis-reduction.
Note
The Sixth Annual Graduate Research Day was organized by Florida Atlantic University’s Graduate Student Association. Graduate students from FAU Colleges present abstracts of original research and posters in a competition for monetary prizes, awards, and recognition.
Title Plain
New LS[3][2,3,2^8] Geometric Large Sets
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Physical Location
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Title
New LS[3][2,3,2^8] Geometric Large Sets
Other Title Info
New LS[3][2,3,2^8] Geometric Large Sets