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dc.contributor.author Thomas P. en_US
dc.contributor.author V. C. en_US
dc.contributor.author V. D. en_US
dc.date.accessioned 2010-12-07T08:59:16Z
dc.date.available 2010-12-07T08:59:16Z
dc.date.issued 2008-07-06 en_US
dc.identifier http://dx.doi.org/10.1016/j.disc.2006.06.039 en_US
dc.identifier.citation McDonough , T P , 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 . , 10.1016/j.disc.2006.06.039 en_US
dc.identifier.other PURE: 154824 en_US
dc.identifier.other dspace: 2160/5985 en_US
dc.identifier.uri http://hdl.handle.net/2160/5985
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_US
dc.format.extent 9 en_US
dc.relation.ispartof Discrete Mathematics en_US
dc.title On affine designs and Hadamard designs with line spreads en_US
dc.contributor.pbl Institute of Mathematics & Physics (ADT) en_US
dc.contributor.pbl Algebraic Combinatorics en_US


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