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New LS[3][2,3,2^8] Geometric Large Sets
- Date Issued:
- 2015
- Summary:
- 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.
Title: | New LS[3][2,3,2^8] Geometric Large Sets. |
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Name(s): |
Hurley, Michael Robert Khadka, Bal K. Magliveras, Spyros S. Graduate College |
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Type of Resource: | text | |
Genre: | Poster | |
Date Created: | 2015 | |
Date Issued: | 2015 | |
Publisher: | Florida Atlantic University | |
Place of Publication: | Boca Raton, Fla. | |
Physical Form: | application/pdf | |
Extent: | 1 p. | |
Language(s): | English | |
Summary: | 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. | |
Identifier: | FA00005885 (IID) | |
Collection: | FAU Student Research Digital Collection | |
Note(s): | 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. | |
Held by: | Florida Atlantic University Libraries | |
Sublocation: | Digital Library | |
Persistent Link to This Record: | http://purl.flvc.org/fau/fd/FA00005885 | |
Use and Reproduction: | Copyright © is held by the author with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder. | |
Host Institution: | FAU | |
Is Part of Series: | Florida Atlantic University Digital Library Collections. |