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On maximal t-linearly independent sets
Resource type
Authors/contributors
- Gulati, Bodh Raj (Author)
- Johnson, Bruce McK. (Author)
- Koehn, Uwe (Author)
Title
On maximal t-linearly independent sets
Abstract
Consider a finite t + r − 1 dimensional projective space PG(t + r − 1, s) over a Galois field GF(s) of order s = ϱh, where ϱ and h are positive integers and ϱ is the prime characteristic of the field. A collection of k points in PG (t + r − 1, s) constitutes an L(t, k)-set if no t of them are linearly dependent. An L(t, k)-set is maximal if there exists no other L(t, k′)-set with k′ > k. The largest k for which an L(t, k)-set exists is denoted by Mt(t + r, s). K. A. Bush [3] established that Mt(t, s) = t + 1 for t ⩾ s. The purpose of this paper is to generalize this result and study Mt(t + r, s) for t, r, and s in certain relationships.
Publication
Journal of Combinatorial Theory, Series A
Date
July 1, 1973
Volume
15
Issue
1
Pages
45-53
Journal Abbr
Journal of Combinatorial Theory, Series A
Citation Key
gulatiMaximalTlinearlyIndependent1973
Accessed
12/23/19, 8:19 PM
ISSN
0097-3165
Language
English
Library Catalog
ScienceDirect
Extra
8 citations (Crossref) [2023-10-31]
Citation Key Alias: lens.org/049-844-927-071-25X, pop00074
tex.type: [object Object]
Citation
Gulati, B. R., Johnson, B. McK., & Koehn, U. (1973). On maximal t-linearly independent sets. Journal of Combinatorial Theory, Series A, 15(1), 45–53. https://doi.org/10.1016/0097-3165(73)90034-4
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