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The minimum weight of the code of intersecting lines in PG(3,q)
Sam Adriaensen, Robin Simoens, Leo Storme, 2026, original scientific article

Abstract: We characterise the minimum weight codewords of the p-ary linear code of intersecting lines in PG(3,q), q = p^h, q ≥ 19, p prime, h ≥ 1. If q is even, the minimum weight equals q³ + q² + q + 1. If q is odd, the minimum weight equals q³ + 2q² + q + 1. For q even, we also characterise the codewords of second smallest weight.
Keywords: linear codes, finite projective spaces, Klein quadric
Published in RUP: 21.12.2025; Views: 160; Downloads: 0
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Resolving sets for higher dimensional projective spaces
Daniele Bartoli, György Kiss, Stefano Marcugini, Fernanda Pambianco, 2020, original scientific article

Keywords: incidence graph, resolving sets, finite projective spaces
Published in RUP: 17.12.2020; Views: 3508; Downloads: 39
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On the intersection of Baer subgeometries of PG(n, q[sup]2)
Izabella Jagos, György Kiss, Attila Pór, 2003, original scientific article

Keywords: Baer subgeometries, finite projective spaces, non-desarguesian translation planes
Published in RUP: 08.08.2016; Views: 5180; Downloads: 90
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A note on a geometric construction of large Cayley graps of given degree and diameter
György Kiss, István Kovács, Klavdija Kutnar, János Ruff, Primož Šparl, 2009, original scientific article

Abstract: An infinite series and some sporadic examples of large Cayley graphs with given degree and diameter are constructed. The graphs arise from arcs, caps and other objects of finite projective spaces.
Keywords: degree, diameter problem, Moore bound, finite projective spaces
Published in RUP: 15.10.2013; Views: 18604; Downloads: 81
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