FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2020908345> ?p ?o ?g. }

• W2020908345 endingPage "142" @default.
• W2020908345 startingPage "119" @default.
• W2020908345 abstract "For every odd prime power q where q ≡ −1(3) we define a (2q + 2, q + 1) code over the field of three elements. It is shown that all the codes in this family are self orthogonal. For q = 5, the (12, 6) code is equivalent to the extended Golay code. For q = 11, it can be shown that the minimum weight of the (24, 12) code is 9. For q = 17, 23, 29 it is shown, in part by computer, that the minimum weights of the (36, 18), (48, 24), and (60, 30) codes are 12, 15, and 18 respectively. There are 5-designs associated with vectors of certain weights in the (12, 6), (24, 12), (36, 18), (48, 24), and (60, 30) codes. There are new 5-designs associated with the last four codes mentioned. The 5-designs related to the (36, 18) and (60, 30) codes are the first 5-designs found with their parameters. For each q we construct a group P of (2q + 2) × (2q + 2) monomial matrices. We show that P leaves the (2q + 2, q + 1) code in the family invariant, and that P{I, −I} is isomorphic to PGL2(q). We can form a Hadamard matrix by considering the rows of this matrix as certain maximal weight vectors contained in this code. This Hadamard matrix is left invariant by the group P described above." @default.
• W2020908345 created "2016-06-24" @default.
• W2020908345 creator A5052458305 @default.
• W2020908345 date "1972-01-01" @default.
• W2020908345 modified "2023-09-26" @default.
• W2020908345 title "Symmetry codes over GF(3) and new five-designs" @default.
• W2020908345 cites W1969700067 @default.
• W2020908345 cites W1972817581 @default.
• W2020908345 cites W2014783995 @default.
• W2020908345 cites W2015337464 @default.
• W2020908345 cites W2015442557 @default.
• W2020908345 cites W2128981323 @default.
• W2020908345 cites W2327031263 @default.
• W2020908345 cites W2916635977 @default.
• W2020908345 doi "https://doi.org/10.1016/0097-3165(72)90088-x" @default.
• W2020908345 hasPublicationYear "1972" @default.
• W2020908345 type Work @default.
• W2020908345 sameAs 2020908345 @default.
• W2020908345 citedByCount "93" @default.
• W2020908345 countsByYear W20209083452012 @default.
• W2020908345 countsByYear W20209083452013 @default.
• W2020908345 countsByYear W20209083452015 @default.
• W2020908345 countsByYear W20209083452016 @default.
• W2020908345 countsByYear W20209083452017 @default.
• W2020908345 countsByYear W20209083452019 @default.
• W2020908345 countsByYear W20209083452020 @default.
• W2020908345 countsByYear W20209083452021 @default.
• W2020908345 countsByYear W20209083452022 @default.
• W2020908345 crossrefType "journal-article" @default.
• W2020908345 hasAuthorship W2020908345A5052458305 @default.
• W2020908345 hasConcept C106487976 @default.
• W2020908345 hasConcept C108906091 @default.
• W2020908345 hasConcept C11252640 @default.
• W2020908345 hasConcept C11413529 @default.
• W2020908345 hasConcept C114614502 @default.
• W2020908345 hasConcept C118615104 @default.
• W2020908345 hasConcept C134306372 @default.
• W2020908345 hasConcept C157125643 @default.
• W2020908345 hasConcept C159985019 @default.
• W2020908345 hasConcept C165293857 @default.
• W2020908345 hasConcept C174072685 @default.
• W2020908345 hasConcept C177264268 @default.
• W2020908345 hasConcept C1842014 @default.
• W2020908345 hasConcept C184992742 @default.
• W2020908345 hasConcept C190470478 @default.
• W2020908345 hasConcept C192562407 @default.
• W2020908345 hasConcept C197242373 @default.
• W2020908345 hasConcept C199360897 @default.
• W2020908345 hasConcept C2400350 @default.
• W2020908345 hasConcept C2776760102 @default.
• W2020908345 hasConcept C30463267 @default.
• W2020908345 hasConcept C33923547 @default.
• W2020908345 hasConcept C3427991 @default.
• W2020908345 hasConcept C37914503 @default.
• W2020908345 hasConcept C41008148 @default.
• W2020908345 hasConcept C57273362 @default.
• W2020908345 hasConcept C60292330 @default.
• W2020908345 hasConcept C77926391 @default.
• W2020908345 hasConceptScore W2020908345C106487976 @default.
• W2020908345 hasConceptScore W2020908345C108906091 @default.
• W2020908345 hasConceptScore W2020908345C11252640 @default.
• W2020908345 hasConceptScore W2020908345C11413529 @default.
• W2020908345 hasConceptScore W2020908345C114614502 @default.
• W2020908345 hasConceptScore W2020908345C118615104 @default.
• W2020908345 hasConceptScore W2020908345C134306372 @default.
• W2020908345 hasConceptScore W2020908345C157125643 @default.
• W2020908345 hasConceptScore W2020908345C159985019 @default.
• W2020908345 hasConceptScore W2020908345C165293857 @default.
• W2020908345 hasConceptScore W2020908345C174072685 @default.
• W2020908345 hasConceptScore W2020908345C177264268 @default.
• W2020908345 hasConceptScore W2020908345C1842014 @default.
• W2020908345 hasConceptScore W2020908345C184992742 @default.
• W2020908345 hasConceptScore W2020908345C190470478 @default.
• W2020908345 hasConceptScore W2020908345C192562407 @default.
• W2020908345 hasConceptScore W2020908345C197242373 @default.
• W2020908345 hasConceptScore W2020908345C199360897 @default.
• W2020908345 hasConceptScore W2020908345C2400350 @default.
• W2020908345 hasConceptScore W2020908345C2776760102 @default.
• W2020908345 hasConceptScore W2020908345C30463267 @default.
• W2020908345 hasConceptScore W2020908345C33923547 @default.
• W2020908345 hasConceptScore W2020908345C3427991 @default.
• W2020908345 hasConceptScore W2020908345C37914503 @default.
• W2020908345 hasConceptScore W2020908345C41008148 @default.
• W2020908345 hasConceptScore W2020908345C57273362 @default.
• W2020908345 hasConceptScore W2020908345C60292330 @default.
• W2020908345 hasConceptScore W2020908345C77926391 @default.
• W2020908345 hasIssue "1" @default.
• W2020908345 hasLocation W20209083451 @default.
• W2020908345 hasOpenAccess W2020908345 @default.
• W2020908345 hasPrimaryLocation W20209083451 @default.
• W2020908345 hasRelatedWork W1990933154 @default.
• W2020908345 hasRelatedWork W2010633994 @default.
• W2020908345 hasRelatedWork W2064841418 @default.
• W2020908345 hasRelatedWork W2210786735 @default.
• W2020908345 hasRelatedWork W2284916738 @default.
• W2020908345 hasRelatedWork W2466745091 @default.
• W2020908345 hasRelatedWork W2981128401 @default.
• W2020908345 hasRelatedWork W3168938245 @default.

• next