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Article: A geometric proof of a theorem on antiregularity of generalized quadrangles
Title | A geometric proof of a theorem on antiregularity of generalized quadrangles | ||||
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Authors | |||||
Keywords | Antiregularity Codes Generalized quadrangles Laguerre geometry | ||||
Issue Date | 2012 | ||||
Publisher | Springer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0925-1022 | ||||
Citation | Designs, Codes, And Cryptography, 2012, v. 64 n. 3, p. 255-263 How to Cite? | ||||
Abstract | A geometric proof is given in terms of Laguerre geometry of the theorem of Bagchi, Brouwer and Wilbrink, which states that if a generalized quadrangle of order s > 1 has an antiregular point then all of its points are antiregular. © 2011 The Author(s). | ||||
Persistent Identifier | http://hdl.handle.net/10722/144944 | ||||
ISSN | 2023 Impact Factor: 1.4 2023 SCImago Journal Rankings: 1.142 | ||||
ISI Accession Number ID |
Funding Information: This work was partially supported by a grant from the Research Grants Council of the HKSAR, China (Project number: HKU7060/11P). | ||||
References | Bagchi B., Brouwer A.E., Wilbrink H.A.: Notes on binary codes related to the O(5, q) generalized quadrangle for odd q. Geom. Dedicata 39, 339–355 (1991) doi: 10.1007/BF00150760 Benson C.T.: On the structure of generalized quadrangles. J. Algebra 15, 443–454 (1970) doi: 10.1016/0021-8693(70)90049-9 De Soete M., Thas J.A.: A characterization of the generalized quadrangle Q(4, q), q odd. J. Geom. 28, 57–79 (1987) doi: 10.1007/BF01225927 |
DC Field | Value | Language |
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dc.contributor.author | Pun, AY | en_HK |
dc.contributor.author | Wong, PPW | en_HK |
dc.date.accessioned | 2012-02-21T05:43:35Z | - |
dc.date.available | 2012-02-21T05:43:35Z | - |
dc.date.issued | 2012 | en_HK |
dc.identifier.citation | Designs, Codes, And Cryptography, 2012, v. 64 n. 3, p. 255-263 | en_HK |
dc.identifier.issn | 0925-1022 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/144944 | - |
dc.description.abstract | A geometric proof is given in terms of Laguerre geometry of the theorem of Bagchi, Brouwer and Wilbrink, which states that if a generalized quadrangle of order s > 1 has an antiregular point then all of its points are antiregular. © 2011 The Author(s). | en_HK |
dc.language | eng | en_US |
dc.publisher | Springer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0925-1022 | en_HK |
dc.relation.ispartof | Designs, Codes, and Cryptography | en_HK |
dc.rights | The Author(s) | en_US |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | en_US |
dc.subject | Antiregularity | en_HK |
dc.subject | Codes | en_HK |
dc.subject | Generalized quadrangles | en_HK |
dc.subject | Laguerre geometry | en_HK |
dc.title | A geometric proof of a theorem on antiregularity of generalized quadrangles | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4551/resserv?sid=springerlink&genre=article&atitle=A geometric proof of a theorem on antiregularity of generalized quadrangles&title=Designs, Codes and Cryptography&issn=09251022&date=2011-10-15& spage=1&authors=Anna Y. Pun, Philip P. W. Wong | en_US |
dc.identifier.email | Wong, PPW:ppwwong@maths.hku.hk | en_HK |
dc.identifier.authority | Wong, PPW=rp00810 | en_HK |
dc.description.nature | published_or_final_version | en_US |
dc.identifier.doi | 10.1007/s10623-011-9569-y | en_HK |
dc.identifier.scopus | eid_2-s2.0-84863775362 | en_HK |
dc.identifier.hkuros | 201381 | - |
dc.relation.references | Bagchi B., Brouwer A.E., Wilbrink H.A.: Notes on binary codes related to the O(5, q) generalized quadrangle for odd q. Geom. Dedicata 39, 339–355 (1991) | en_US |
dc.relation.references | doi: 10.1007/BF00150760 | en_US |
dc.relation.references | Benson C.T.: On the structure of generalized quadrangles. J. Algebra 15, 443–454 (1970) | en_US |
dc.relation.references | doi: 10.1016/0021-8693(70)90049-9 | en_US |
dc.relation.references | De Soete M., Thas J.A.: A characterization of the generalized quadrangle Q(4, q), q odd. J. Geom. 28, 57–79 (1987) | en_US |
dc.relation.references | doi: 10.1007/BF01225927 | en_US |
dc.relation.references | Payne S.E., Thas J.A.: Generalized quadrangles with symmetry, Part II. Simon Stevin 49, 81–103 (1976) | en_US |
dc.relation.references | Hirschfeld J.W.P., Thas J.A.: General Galois Geometries, Oxford Mathematical Monographs. Oxford Science Publications, The Clarendon Press, Oxford University Press, Oxford (1991). | en_US |
dc.relation.references | Hughes D.R., Piper F.C.: Projective Planes. GTM 6. Springer, Berlin (1973) | en_US |
dc.relation.references | Mazzocca F.: Sistemi grafici rigati di seconda specie. 1st Mat. Univ. Napoli Rel. 28 (1973). | en_US |
dc.relation.references | Payne S.E., Thas J.A.: Finite Generalized Quadrangles, 2nd edn. European Mathematical Society (2009). | en_US |
dc.relation.references | Thas J.A.: Circle Geometries and Generalized Quadrangles, pp. 327–352. Finite Geometries. Dekker, New York (1985) | en_US |
dc.relation.references | Thas J.A., Thas K., Van Maldeghem H.: Translation Generalized Quadrangles. Ser. Pure Math. 26, World Scientific Publishing Co. Pte. Ltd., London WC2H 9HE (2006). | en_US |
dc.identifier.spage | 255 | en_HK |
dc.identifier.epage | 263 | en_HK |
dc.identifier.eissn | 1573-7586 | en_US |
dc.identifier.isi | WOS:000305520100003 | - |
dc.publisher.place | United States | en_HK |
dc.description.other | Springer Open Choice, 21 Feb 2012 | en_US |
dc.identifier.scopusauthorid | Pun, AY=53064449800 | en_HK |
dc.identifier.scopusauthorid | Wong, PPW=12752716000 | en_HK |
dc.identifier.citeulike | 9919471 | - |
dc.identifier.issnl | 0925-1022 | - |