Výsledky vyhledávání - "Bence Csajbók"

On a conjecture about maximum scattered subspaces of Fq6×Fq6

Autor: Daniele Bartoli, Maria Montanucci, Bence Csajbók

Publikováno v: Linear Algebra and its Applications. 631:111-135

We prove that under the action of GL ( 2 , q 6 ) there are ⌊ ( q 2 + q + 1 ) ( q − 2 ) / 2 ⌋ equivalence classes of maximum scattered subspaces of the form U b = { ( x , b x q + x q 4 ) : x ∈ F q 6 } in F q 6 × F q 6 . This verifies a conjec

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::766bb6f41218b65dae22d47758e930bc
https://doi.org/10.1016/j.laa.2021.08.023

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Evasive subspaces

Autor: Daniele Bartoli, Bence Csajbók, Giuseppe Marino, Rocco Trombetti

Publikováno v: Journal of Combinatorial Designs. 29:533-551

Let $V$ denote an $r$-dimensional vector space over $\mathbb{F}_{q^n}$, the finite field of $q^n$ elements. Then $V$ is also an $rn$-dimension vector space over $\mathbb{F}_q$. An $\mathbb{F}_q$-subspace $U$ of $V$ is $(h,k)_q$-evasive if it meets th

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https://doi.org/10.1002/jcd.21783

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Intersecting families of graphs of functions over a finite field

Autor: Bence Csajbók, Angela Aguglia, Zsuzsa Weiner

Let $U$ be a set of polynomials of degree at most $k$ over $\mathbb{F}_q$, the finite field of $q$ elements. Assume that $U$ is an intersecting family, that is, the graphs of any two of the polynomials in $U$ share a common point. Adriaensen proved t

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On sets of points with few odd secants

Autor: Bence Csajbók, Simeon Ball

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

We prove that, for $q$ odd, a set of $q+2$ points in the projective plane over the field with $q$ elements has at least $2q-c$ odd secants, where $c$ is a constant and an odd secant is a line incident with an odd number of points of the set.
Rev

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86b592851c044aef734a8b9229b8bdcd
https://doi.org/10.1017/s0963548319000245

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Double blocking sets of size 3q−1 in PG(2,q)

Autor: Tamás Héger, Bence Csajbók

Publikováno v: European Journal of Combinatorics. 78:73-89

The main purpose of this paper is to find double blocking sets in PG ( 2 , q ) of size less than 3 q , in particular when q is prime. To this end, we study double blocking sets in PG ( 2 , q ) of size 3 q − 1 admitting at least two ( q − 1 ) -sec

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https://doi.org/10.1016/j.ejc.2019.01.004

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Generalizing Korchmáros-Mazzocca Arcs

Autor: Zsuzsa Weiner, Bence Csajbók

In this paper, we generalize the so-called Korchmaros—Mazzocca arcs, that is, point sets of size q + t intersecting each line in 0, 2 or t points in a finite projective plane of order q. For t ≠ 2, this means that each point of the point set is i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e6932fae01e62fa4cc204d580ed0f00
http://hdl.handle.net/11589/234051

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Generalising the Scattered Property of Subspaces

Autor: Ferdinando Zullo, Bence Csajbók, Giuseppe Marino, Olga Polverino

Let $V$ be an $r$-dimensional $\mathbb{F}_{q^n}$-vector space. We call an $\mathbb{F}_q$-subspace $U$ of $V$ $h$-scattered if $U$ meets the $h$-dimensional $\mathbb{F}_{q^n}$-subspaces of $V$ in $\mathbb{F}_q$-subspaces of dimension at most $h$. In 2

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17456e6144a5f63a00ee49dfbad614ec
http://hdl.handle.net/11588/842640

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New maximum scattered linear sets of the projective line

Autor: Giuseppe Marino, Bence Csajbók, Ferdinando Zullo

Publikováno v: Finite Fields and Their Applications. 54:133-150

In [2] and [18] are presented the first two families of maximum scattered F q -linear sets of the projective line PG ( 1 , q n ) . More recently in [22] and in [5] , new examples of maximum scattered F q -subspaces of V ( 2 , q n ) have been construc

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https://doi.org/10.1016/j.ffa.2018.08.001

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On Segre's Lemma of Tangents

Autor: Bence Csajbók, Simeon Ball

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

Segre's lemma of tangents dates back to the 1950's when he used it in the proof of his “arc is a conic” theorem. Since then it has been used as a tool to prove results about various objects including internal nuclei, Kakeya sets, sets with few od

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https://doi.org/10.1016/j.endm.2018.06.003

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