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- aggregation classification "A1".
- aggregation creator person.
- aggregation creator person.
- aggregation creator person.
- aggregation date "2009".
- aggregation format "application/pdf".
- aggregation hasFormat 592357.bibtex.
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- aggregation isPartOf urn:issn:0097-3165.
- aggregation language "eng".
- aggregation subject "Mathematics and Statistics".
- aggregation title "Generalised dual arcs and Veronesean surfaces, with applications to cryptography".
- aggregation abstract "We start by defining generalised dual arcs, the motivation for defining them comes from cryptography, since they can serve as a tool to construct authentication codes and secret sharing schemes. We extend the characterisation of the tangent planes of the Veronesean surface V-2(4) in PG(5,q), q odd, described in [J.W.P. Hirschfeld, J.A. Thas, General Galois Geometries, Oxford Math. Monogr., Clarendon Press/Oxford Univ. Press, New York, 1991], as a set of q(2) + q + 1 planes in PG(5, q), such that every two intersect in a point and every three are skew. We show that a set of q 2 + q planes generating PG(5, q), q odd, and satisfying the above properties can be extended to a set of q2 + q + I planes still satisfying all conditions. This result is a natural generalisation of the fact that a q-arc in PG(2, q), q odd, can always be extended to a (q + 1)-arc. This extension result is then used to study a regular generalised dual arc with parameters (9, 5, 2, 0) in PG(9, q), q odd, where we obtain an algebraic characterisation of such an object as being the image of a cubic Veronesean.".
- aggregation authorList BK423224.
- aggregation endPage "698".
- aggregation issue "3".
- aggregation startPage "684".
- aggregation volume "116".
- aggregation aggregates 593247.
- aggregation isDescribedBy 592357.
- aggregation similarTo j.jcta.2008.11.001.
- aggregation similarTo LU-592357.