Name
Abstract | ||
|---|---|---|
A t-(n,k,@l;q)-design is a set of k-dimensional subspaces, called blocks, of an n-dimensional vector space V over the finite field with q elements such that each t-dimensional subspace is contained in exactly @l blocks. A partition of the complete set of k-dimensional subspaces of V into disjoint t-(n,k,@l;q) designs is called a large set of t-designs over finite fields. In this paper we give the first nontrivial construction of such a large set with t=2. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.jcta.2014.01.008 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
nontrivial construction,k-dimensional subspaces,finite field,large set,q element,complete set,t-dimensional subspace,l block,n-dimensional vector space v | Automorphism group,Discrete mathematics,Combinatorics,Finite field,Vector space,Disjoint sets,Subspace topology,Linear subspace,Partition (number theory),Mathematics | Journal |
Volume | ISSN | Citations |
124, | 0097-3165 | 10 |
PageRank | References | Authors |
0.90 | 8 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael Braun | 1 | 132 | 19.64 |
| Axel Kohnert | 2 | 114 | 12.60 |
| Patric R. J. Östergård | 3 | 609 | 70.61 |
| Alfred Wassermann | 4 | 125 | 23.33 |