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On the non-existenc...
On the non-existence of a maximal partial spread of size 76 in PG(3,9)
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- Heden, Olof (författare)
- KTH,Matematik (Avd.)
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Marcugini, S. (författare)
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Pambianco, F. (författare)
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visa fler...
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Storme, L. (författare)
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visa färre...
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KTH Matematik (Avd) (creator_code:org_t)
- 2008
- 2008
- Engelska.
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Ingår i: Ars combinatoria. - 0381-7032. ; 89, s. 369-382
- Relaterad länk:
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https://urn.kb.se/re...
Abstract
Ämnesord
Stäng
- We prove the non-existence of maximal partial spreads of size 76 in PG(3,9). Relying on the classification of the minimal blocking sets of size 15 in PG(2, 9) [22], we show that there are only two possibilities for the set of holes of such a maximal partial spread. The weight argument of Blokhuis and Metsch [3] then shows that these sets cannot be the set of holes of a maximal partial spread of size 76. In [17], the non-existence of maximal partial spreads of size 75 in PG(3,9) is proven. This altogether proves that the largest maximal partial spreads, different from a spread, in PG(3, q = 9) have size q(2) - q + 2 = 74.
Nyckelord
- n-queen problem
- nets
- sets
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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