mycoreobjectrosdok_document_0000028065rosdok_document_0000028065rosdokdocumentrosdok_derivate_00002300122026-10-29T12:51:14.255Z2026-10-29T12:46:56.592ZeditorKEeditorKEpublished1rosdok_derivate_0000230012truetruederivate_types:fulltextVolltextfulltextwf_edit_epub wf_register_epubstate:publishedstate:publishedveröffentlichtpublishedrosdok_id00005918198791595XOau2026-10-292026-10-29T12:51:13ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperOn the existence of a PBD(30, { 4, 5, 7, 8*})In the present paper we will prove by an exhaustive search method that a pairwise balanced design on 30 points with blocks of size 4, 5, 7 and exactly one block of size 8 does not exist.MartinGrüttmüller1970 -VerfasserInaut122522559KatyStresoVerfasserInauthttps://purl.uni-rostock.de/rosdok/id00005918urn:nbn:de:gbv:28-rosdok_id00005918-810.18453/rosdok_id00005918510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (8 Seiten)2003University of Rostock, Department of MathematicsRostockmonographic20032026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005918Martin Grüttmüller and Katy Stresorosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/10003-0001doctype:epubdoctype:epubDokumenttypDocument typedoctype:epub.workingpaperdoctype:epub.workingpaperWorkingpaperworking paperdiniPublType:workingPaper diniPublType2022:WorkingPaperinfo:eu-repo/semantics/workingPaperdocumentdiniPublType2022:WorkingPaperdiniPublType2022:WorkingPaperArbeitspapierWorking paperKDSF (Pu37)SDNB:510SDNB:510510 Mathematik510 Mathematicsinstitution:unirostockinstitution:unirostockUniversität RostockUniversity of RostockUniversität RostockUniversität RostockUni.Rostockhttp://d-nb.info/gnd/38329-6institution:unirostock.mnfinstitution:unirostock.mnfMathematisch-Naturwissenschaftliche FakultätFaculty of Mathematics and Natural SciencesUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMathematisch-Natur-<br />wissenschaftliche FakultätUni.Rostock.Fakultaet.MNFhttp://d-nb.info/gnd/2147083-2licenseinfo:worklicenseinfo:workWerkworklicenseinfo:work.rightsreservedlicenseinfo:work.rightsreservedalle Rechte vorbehaltenall rights reserved/creativecommons/r/reserved/0.9/88x31.png[DE-28]Urheberrechtsschutz 1.0$gRights Statements$uhttp://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/licenseinfo:depositlicenseinfo:depositVeröffentlichungsgenehmigungpermission to storelicenseinfo:deposit.rightsunirostocklicenseinfo:deposit.rightsunirostockRechteinhaber Universität Rostockrightsholder Rostock Universityaccesscondition:openaccessaccesscondition:openaccessfrei zugänglich (Open Access)open accesshttp://purl.org/coar/access_right/c_abf2OAfreeinfo:eu-repo/semantics/openAccess[DE-28]Open Access$gControlled Vocabulary for Access Rights$uhttp://purl.org/coar/access_right/c_abf2licenseinfo:metadatalicenseinfo:metadataLizenzen für Metadatenlicenseinfo:metadata.cc0licenseinfo:metadata.cc0Lizenz Metadaten: CC0license metadata: CC0/creativecommons/p/zero/1.0/88x31.pnghttps://creativecommons.org/publicdomain/zero/1.0/rfc5646:enrfc5646:enEnglischEnglishengengOn the existence of a PBD(30, { 4, 5, 7, 8*})On the existence of a PBD(30, { 4, 5, 7, 8*})gnd:122522559gnd:122522559rosdok_document_0000028065-d2246836e49gnd:122522559Martin GrüttmüllerMartin Grüttmüllerrosdok_document_0000028065-d2246836e63Katy StresoKaty StresoMartin GrüttmüllerKaty StresoMartin GrüttmüllerKaty StresoMartin GrüttmüllerKaty StresoRostockUniversity of Rostock, Department of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005918urn:nbn:de:gbv:28-rosdok_id00005918-810.18453/rosdok_id00005918In the present paper we will prove by an exhaustive search method that a pairwise balanced design on 30 points with blocks of size 4, 5, 7 and exactly one block of size 8 does not exist.20032003Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/10003-0001https://purl.uni-rostock.de/rosdok/id000058163255797-8Martin Grüttmüller and Katy Stresoepub.workingpaper1 Gruettmueller_existence_2003.pdf 530914 b87705a96e1c3008a77edf5ca0c08cb1 rosdok_id00005918198791595XOau2026-10-292026-10-29T12:51:13ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperOn the existence of a PBD(30, { 4, 5, 7, 8*})In the present paper we will prove by an exhaustive search method that a pairwise balanced design on 30 points with blocks of size 4, 5, 7 and exactly one block of size 8 does not exist.MartinGrüttmüller1970 -VerfasserInaut122522559KatyStresoVerfasserInauthttps://purl.uni-rostock.de/rosdok/id00005918urn:nbn:de:gbv:28-rosdok_id00005918-810.18453/rosdok_id00005918510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (8 Seiten)2003University of Rostock, Department of MathematicsRostockmonographic20032026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005918Martin Grüttmüller and Katy Stresorosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/10003-0001 2026-10-29T12:46:56.592Z 2026-10-29T12:51:14.255Z 2026-11-08T12:51:14.267Z editorKE {"identifier":"rosdok/id00005918","type":"local_id","additional":"","service":"MCRLocalID","created":"2026-10-29T12:46:56.612Z"} {"identifier":"urn:nbn:de:gbv:28-rosdok_id00005918-8","type":"dnbUrn","additional":"","service":"RosDokURN","created":"2026-10-29T12:46:56.632Z"} {"identifier":"https://purl.uni-rostock.de/rosdok/id00005918","type":"purl","additional":"","service":"RosDokPURL","created":"2026-10-29T12:46:56.639Z","registrationStarted":"2026-10-29T12:50:45.463Z"} {"identifier":"10.18453/rosdok_id00005918","type":"doi","additional":"","service":"RosDokDOI","created":"2026-10-29T12:46:56.646Z","registrationStarted":"2026-10-29T12:50:44.054Z","registered":"2026-10-29T12:50:47.020Z"} editorKEfulltextfile/rosdok_document_0000028065/rosdok_derivate_0000230012/Gruettmueller_existence_2003.pdfOn the existence of a PBD(30, { 4, 5, 7, 8*})On the existence of a PBD(30, { 4, 5, 7, 8*})gnd:122522559gnd:122522559rosdok_document_0000028065-d2246836e49gnd:122522559Martin GrüttmüllerMartin Grüttmüllerrosdok_document_0000028065-d2246836e63Katy StresoKaty StresoMartin GrüttmüllerKaty StresoMartin GrüttmüllerKaty StresoMartin GrüttmüllerKaty StresoRostockUniversity of Rostock, Department of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005918urn:nbn:de:gbv:28-rosdok_id00005918-810.18453/rosdok_id00005918In the present paper we will prove by an exhaustive search method that a pairwise balanced design on 30 points with blocks of size 4, 5, 7 and exactly one block of size 8 does not exist.20032003Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/10003-0001https://purl.uni-rostock.de/rosdok/id000058163255797-8Martin Grüttmüller and Katy Streso[xslt]Saxonrosdok_id00005918https://purl.uni-rostock.de/rosdok/id00005918198791595X10.18453/rosdok_id00005918urn:nbn:de:gbv:28-rosdok_id00005918-8Martin Grüttmüller, Katy StresoGrüttmüller Martin, Streso KatyOn the existence of a PBD(30, { 4, 5, 7, 8*})Workingpaperworking paperUniversity of Rostock, Department of Mathematics, 2003In the present paper we will prove by an exhaustive search method that a pairwise balanced design on 30 points with blocks of size 4, 5, 7 and exactly one block of size 8 does not exist.rosdok_id000058160003-000103/1Martin GrüttmüllerKaty StresoOn the existence of a PBD(30, { 4, 5, 7, 8*})Preprints aus dem Institut für MathematikUniversitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005918MartinGrüttmüller1970 -VerfasserInaut122522559KatyStresoVerfasserInaut[purl]https://purl.uni-rostock.de/rosdok/id00005918[urn]urn:nbn:de:gbv:28-rosdok_id00005918-8[doi]10.18453/rosdok_id00005918open_access20032003epoch:21th_centuryrfc5646:endoctype:epub.workingpaperaccesscondition:openaccessSDNB:510institution:unirostock.mnfstate:published