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Some results on the existence of large sets of t‐designs
| Content Provider | Semantic Scholar |
|---|---|
| Author | Khosrovshahi, Gholamreza B. Tayfeh-Rezaie, R. |
| Copyright Year | 2003 |
| Abstract | A set of trivial necessary conditions for the existence of a large set of t-designs, LS[N](t,k,ν), is for i = 0,…,t. There are two conjectures due to Hartman and Khosrovshahi which state that the trivial necessary conditions are sufficient in the cases N = 2 and 3, respectively. Ajoodani-Namini has established the truth of Hartman's conjecture for t = 2. Apart from this celebrated result, we know the correctness of the conjectures for a few small values of k, when N = 2 and t ≤ 6, and also when N = 3 and t ≤ 4. In this article, we show that similar results can be obtained for infinitely many values of k. © 2003 Wiley Periodicals, Inc. J Combin Designs 11: 144–151, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/jcd.10027 |
| File Format | PDF HTM / HTML |
| DOI | 10.1002/jcd.10027 |
| Alternate Webpage(s) | http://math.ipm.ac.ir/tayfeh-r/papersandpreprints/largesetcorrected.pdf |
| Alternate Webpage(s) | http://math.ipm.ac.ir/~tayfeh-r/papersandpreprints/largesetcorrected.pdf |
| Alternate Webpage(s) | http://math.ipm.ac.ir/tayfeh-r/papersandpreprints/largesetcorrected.ps |
| Alternate Webpage(s) | https://doi.org/10.1002/jcd.10027 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
