Matches in SemOpenAlex for { <https://semopenalex.org/work/W3127190738> ?p ?o ?g. }
- W3127190738 endingPage "262" @default.
- W3127190738 startingPage "237" @default.
- W3127190738 abstract "Let V be an r-dimensional $${mathbb{F}_{{q^n}}}$$ -vector space. We call an $${mathbb{F}_{q}}$$ -subspace U of V h-scattered if U meets the h-dimensional $${mathbb{F}_{{q^n}}}$$ -subspaces of V in $${mathbb{F}_{q}}$$ -subspaces of dimension at most h. In 2000 Blokhuis and Lavrauw proved that $${dim_{mathbb{F}_{q}}}$$ U ≤ rn/2 when U is 1-scattered. Sub-spaces attaining this bound have been investigated intensively because of their relations with projective two-weight codes and strongly regular graphs. MRD-codes with a maximum idealiser have also been linked to rn/2-dimensional 1-scattered subspaces and to n-dimensional (r − 1)-scattered subspaces. In this paper we prove the upper bound rn/(h + 1) for the dimension of h-scattered subspaces, h > 1, and construct examples with this dimension. We study their intersection numbers with hyperplanes, introduce a duality relation among them, and study the equivalence problem of the corresponding linear sets." @default.
- W3127190738 created "2021-02-15" @default.
- W3127190738 creator A5041162879 @default.
- W3127190738 creator A5051893940 @default.
- W3127190738 creator A5056316631 @default.
- W3127190738 creator A5076962307 @default.
- W3127190738 date "2021-02-01" @default.
- W3127190738 modified "2023-10-18" @default.
- W3127190738 title "Generalising the Scattered Property of Subspaces" @default.
- W3127190738 cites W1895078076 @default.
- W3127190738 cites W1972813612 @default.
- W3127190738 cites W1989626296 @default.
- W3127190738 cites W2000084855 @default.
- W3127190738 cites W2008052995 @default.
- W3127190738 cites W2021537862 @default.
- W3127190738 cites W2025392232 @default.
- W3127190738 cites W2082506471 @default.
- W3127190738 cites W2095547380 @default.
- W3127190738 cites W2167413131 @default.
- W3127190738 cites W2197225813 @default.
- W3127190738 cites W2213878271 @default.
- W3127190738 cites W2413632333 @default.
- W3127190738 cites W2490728539 @default.
- W3127190738 cites W2517360625 @default.
- W3127190738 cites W2579943970 @default.
- W3127190738 cites W2580044016 @default.
- W3127190738 cites W2729818633 @default.
- W3127190738 cites W2774658984 @default.
- W3127190738 cites W2797250836 @default.
- W3127190738 cites W2963915107 @default.
- W3127190738 cites W2996101375 @default.
- W3127190738 cites W3026864023 @default.
- W3127190738 doi "https://doi.org/10.1007/s00493-020-4347-y" @default.
- W3127190738 hasPublicationYear "2021" @default.
- W3127190738 type Work @default.
- W3127190738 sameAs 3127190738 @default.
- W3127190738 citedByCount "7" @default.
- W3127190738 countsByYear W31271907382021 @default.
- W3127190738 countsByYear W31271907382022 @default.
- W3127190738 countsByYear W31271907382023 @default.
- W3127190738 crossrefType "journal-article" @default.
- W3127190738 hasAuthorship W3127190738A5041162879 @default.
- W3127190738 hasAuthorship W3127190738A5051893940 @default.
- W3127190738 hasAuthorship W3127190738A5056316631 @default.
- W3127190738 hasAuthorship W3127190738A5076962307 @default.
- W3127190738 hasBestOaLocation W31271907382 @default.
- W3127190738 hasConcept C114614502 @default.
- W3127190738 hasConcept C118615104 @default.
- W3127190738 hasConcept C12362212 @default.
- W3127190738 hasConcept C127413603 @default.
- W3127190738 hasConcept C13336665 @default.
- W3127190738 hasConcept C134306372 @default.
- W3127190738 hasConcept C146978453 @default.
- W3127190738 hasConcept C156103551 @default.
- W3127190738 hasConcept C202444582 @default.
- W3127190738 hasConcept C2778023678 @default.
- W3127190738 hasConcept C32834561 @default.
- W3127190738 hasConcept C33676613 @default.
- W3127190738 hasConcept C33923547 @default.
- W3127190738 hasConcept C64543145 @default.
- W3127190738 hasConcept C68693459 @default.
- W3127190738 hasConcept C77553402 @default.
- W3127190738 hasConceptScore W3127190738C114614502 @default.
- W3127190738 hasConceptScore W3127190738C118615104 @default.
- W3127190738 hasConceptScore W3127190738C12362212 @default.
- W3127190738 hasConceptScore W3127190738C127413603 @default.
- W3127190738 hasConceptScore W3127190738C13336665 @default.
- W3127190738 hasConceptScore W3127190738C134306372 @default.
- W3127190738 hasConceptScore W3127190738C146978453 @default.
- W3127190738 hasConceptScore W3127190738C156103551 @default.
- W3127190738 hasConceptScore W3127190738C202444582 @default.
- W3127190738 hasConceptScore W3127190738C2778023678 @default.
- W3127190738 hasConceptScore W3127190738C32834561 @default.
- W3127190738 hasConceptScore W3127190738C33676613 @default.
- W3127190738 hasConceptScore W3127190738C33923547 @default.
- W3127190738 hasConceptScore W3127190738C64543145 @default.
- W3127190738 hasConceptScore W3127190738C68693459 @default.
- W3127190738 hasConceptScore W3127190738C77553402 @default.
- W3127190738 hasIssue "2" @default.
- W3127190738 hasLocation W31271907381 @default.
- W3127190738 hasLocation W31271907382 @default.
- W3127190738 hasLocation W31271907383 @default.
- W3127190738 hasOpenAccess W3127190738 @default.
- W3127190738 hasPrimaryLocation W31271907381 @default.
- W3127190738 hasRelatedWork W1997074570 @default.
- W3127190738 hasRelatedWork W2050628546 @default.
- W3127190738 hasRelatedWork W2460228736 @default.
- W3127190738 hasRelatedWork W2887775518 @default.
- W3127190738 hasRelatedWork W2955041171 @default.
- W3127190738 hasRelatedWork W3081370402 @default.
- W3127190738 hasRelatedWork W3205463133 @default.
- W3127190738 hasRelatedWork W4287667745 @default.
- W3127190738 hasRelatedWork W4287686225 @default.
- W3127190738 hasRelatedWork W3084446561 @default.
- W3127190738 hasVolume "41" @default.
- W3127190738 isParatext "false" @default.
- W3127190738 isRetracted "false" @default.
- W3127190738 magId "3127190738" @default.