Show simple item record McDonough, Thomas Mavron, V. C. Tonchev, V. D. 2010-12-07T08:59:16Z 2010-12-07T08:59:16Z 2008-07-06
dc.identifier.citation McDonough , T , Mavron , V C & Tonchev , V D 2008 , ' On affine designs and Hadamard designs with line spreads ' Discrete Mathematics , vol 308 , no. 13 , pp. 2742-2750 . DOI: 10.1016/j.disc.2006.06.039 en
dc.identifier.issn 0012-365X
dc.identifier.other PURE: 154824
dc.identifier.other PURE UUID: 500f4de1-c0b9-4de6-8777-3c64814c9b9c
dc.identifier.other dspace: 2160/5985
dc.identifier.other DSpace_20121128.csv: row: 3821
dc.identifier.other Scopus: 41549126286
dc.description V.C.Mavron, T.P. McDonough and V.D. Tonchev, On affine designs and Hadamard designs with line spreads. Discrete Mathematics Volume 308, Issue 13, 6 July 2008, Pages 2742-2750. en
dc.description.abstract Rahilly [On the line structure of designs, Discrete Math. 92 (1991) 291–303] described a construction that relates any Hadamard design H on 4^m-1 points with a line spread to an affine design having the same parameters as the classical design of points and hyperplanes in AG(m,4). Here it is proved that the affine design is the classical design of points and hyperplanes in AG(m,4) if, and only if, H is the classical design of points and hyperplanes in PG(2m-1,2) and the line spread is of a special type. Computational results about line spreads in PG(5,2) are given. One of the affine designs obtained has the same 2-rank as the design of points and planes in AG(3,4), and provides a counter-example to a conjecture of Hamada [On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error-correcting codes, Hiroshima Math. J. 3 (1973) 153–226]. en
dc.format.extent 9 en
dc.language.iso eng
dc.relation.ispartof Discrete Mathematics en
dc.rights en
dc.title On affine designs and Hadamard designs with line spreads en
dc.type /dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article en
dc.contributor.institution Algebraic Combinatorics en
dc.contributor.institution Department of Physics en
dc.description.status Peer reviewed en

Files in this item

Aside from theses and in the absence of a specific licence document on an item page, all works in Cadair are accessible under the CC BY-NC-ND Licence. AU theses and dissertations held on Cadair are made available for the purposes of private study and non-commercial research and brief extracts may be reproduced under fair dealing for the purpose of criticism or review. If you have any queries in relation to the re-use of material on Cadair, contact

This item appears in the following Collection(s)

Show simple item record

Search Cadair

Advanced Search