1. The minimum weight of the code of intersecting lines in PG(3,q)Sam Adriaensen, Robin Simoens, Leo Storme, 2026, izvirni znanstveni članek Opis: 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.
Ključne besede: linear codes, finite projective spaces, Klein quadric
Objavljeno v RUP: 21.12.2025; Ogledov: 248; Prenosov: 0
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2. On extremal (almost) edge-girth-regular graphsGabriela Araujo-Pardo, György Kiss, István Porupsánszki, 2025, izvirni znanstveni članek Opis: A k-regular graph of girth g is called an edge-girth-regular graph, or an egr-graph for short, if each of its edges is contained in exactly λ distinct g-cycles. An egr-graph is called extremal for the triple (k, g, λ) if has the smallest possible order. We prove that some graphs arising from incidence graphs of finite planes are extremal egr-graphs. We also prove new lower bounds on the order of egr-graphs.
Ključne besede: edge-girth-regular graph, cage problem, finite biaffine planes
Objavljeno v RUP: 03.11.2025; Ogledov: 407; Prenosov: 3
Celotno besedilo (547,76 KB) |
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5. The invariant of PGU(3,q) in the Hermitian function fieldBarbara Gatti, Francesco Ghiandoni, Gábor Korchmáros, 2025, izvirni znanstveni članek Opis: Let F = F|K be a function field over an algebraically closed constant field K of positive characteristic p. For a K-automorphism group G of F, the invariant of G is the fixed field FG of G. If F has transendency degree 1 (i.e. F is the function field of an irreducible curve) and FG is rational, then each generator of FG uniquely determines FG and it makes sense to call each of them the invariant of G. In this paper, F is the Hermitian function field K(Hq)=K(x,y) with yq + y − xq + 1 = 0 and q = pr. We determine the invariant of Aut(K(Hq)) \cong PGU(3,q), and discuss some related questions on Galois subcovers of maximal curves over finite fields.
Ključne besede: function field, finite field, automorphism group, invariant
Objavljeno v RUP: 21.10.2025; Ogledov: 348; Prenosov: 4
Celotno besedilo (388,93 KB) |
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7. Electric guitar neck from densified poplar? : experimental and numerical analysisVáclav Sebera, Marica Mikuljan, Michael Nicolas Mrissa, Andreja Kutnar, Rok Prislan, Jaka Gašper Pečnik, 2021, objavljeni povzetek znanstvenega prispevka na konferenci Ključne besede: densified poplar, orthotropic material model, finite element analysis, electric guitar, acoustics
Objavljeno v RUP: 24.06.2021; Ogledov: 4888; Prenosov: 67
Celotno besedilo (1,75 MB)
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9. Properties of beech cell wall : micropillar compression, nanoindentation mapping and FE analysisVáclav Sebera, Petr Klímek, Darius Tytko, Martin Brabec, Jaroslav Lukeš, 2019, objavljeni povzetek znanstvenega prispevka na konferenci Ključne besede: beech, cell wall, micropillar compression, nanoindentation, finite element analysis
Objavljeno v RUP: 11.02.2020; Ogledov: 2972; Prenosov: 118
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