caa a22 4500 475807693 CHVBK 20180406123751.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1023/A:1008383510488 doi (NATIONALLICENCE)springer-10.1023/A:1008383510488 Two-Weight Codes, Partial Geometries and Steiner Systems [Elektronische Daten] [Frank Clerck, Mario Delanote] Two-weight codes and projectivesets having two intersection sizes with hyperplanes are equivalentobjects and they define strongly regular graphs. We construct projective sets in PG(2m − 1,q) that have the sameintersection numbers with hyperplanes as the hyperbolic quadricQ+(2m − 1,q). We investigate these sets; we provethat if q = 2 the corresponding strongly regular graphsare switching equivalent and that they contain subconstituentsthat are point graphs of partial geometries. If m = 4the partial geometries have parameters s = 7, t = 8,α = 4 and some of them are embeddable in Steinersystems S(2,8,120). Kluwer Academic Publishers, 2000 Seidel switching nationallicence strongly regular graphs nationallicence partial geometries nationallicence Steiner systems nationallicence two-weight codes nationallicence Clerck Frank Ghent University—, Department of Pure Mathematics and Computer Algebra, Belgium aut Delanote Mario Ghent University—, Department of Pure Mathematics and Computer Algebra, Belgium aut Designs, Codes and Cryptography Kluwer Academic Publishers 21/1-3(2000-10-01), 87-98 0925-1022 21:1-3<87 2000 21 10623 https://doi.org/10.1023/A:1008383510488 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1008383510488 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Clerck Frank Ghent University—, Department of Pure Mathematics and Computer Algebra, Belgium aut NATIONALLICENCE 700 1- Delanote Mario Ghent University—, Department of Pure Mathematics and Computer Algebra, Belgium aut NATIONALLICENCE 773 0- Designs, Codes and Cryptography Kluwer Academic Publishers 21/1-3(2000-10-01), 87-98 0925-1022 21:1-3<87 2000 21 10623 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer