Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Anton Betten"'
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 33:649-674
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f35a50bdba0610151c69cf1f53b47f9
https://doi.org/10.1007/s00200-022-00562-7
https://doi.org/10.1007/s00200-022-00562-7
Autor:
Anton Betten, Fatma Karaoglu
Publikováno v:
Designs, Codes and Cryptography. 90:2159-2180
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb77827f34fa1dc334a5ef8d0eaaf7b8
https://doi.org/10.1007/s10623-021-00999-w
https://doi.org/10.1007/s10623-021-00999-w
Autor:
Fatma Karaoglu, Anton Betten
Publikováno v:
Journal of Algebraic Combinatorics. 56:43-57
We determine the number of cubic surfaces with 27 lines over a finite field $${{\mathbb {F}}}_q$$ . This is based on exploiting the relationship between non-conical six-arcs in a projective plane embedded in projective three-space and cubic surfaces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e35131e1d123d8b91c1aefe8ece905b
https://doi.org/10.1007/s10801-020-01009-3
https://doi.org/10.1007/s10801-020-01009-3
Publikováno v:
Cybernetics and Information Technologies. 20:18-27
A spread in PG(n, q) is a set of lines which partition the point set. A parallelism is a partition of the set of lines by spreads. A parallelism is uniform if all its spreads are isomorphic. Up to isomorphism, there are three spreads of PG(3, 4) –
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef637353e9503599aa8ff9b4189e339d
https://doi.org/10.2478/cait-2020-0057
https://doi.org/10.2478/cait-2020-0057
Autor:
Anton Betten
Publikováno v:
ISSAC
We describe a very versatile, fast and useful open source software package to compute combinatorial objects up to isomorphism called Orbiter. We provide an overview of some of the design decisions made during development, and we point out similar sof
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87f08cbcf77133681f8d69908633888e
https://doi.org/10.1145/3373207.3403984
https://doi.org/10.1145/3373207.3403984
Autor:
Anton Betten, Tarun Mukthineni
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783030521998
ICMS
ICMS
A convex polyhedron is the convex hull of a finite set of points in \({\mathbb R}^3.\) A triangulation of a convex polyhedron is a decomposition into a finite number of 3-simplices such that any two intersect in a common face or are disjoint. A simpl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e75bf2a87dfc3f5139e06a51c85b520
https://doi.org/10.1007/978-3-030-52200-1_14
https://doi.org/10.1007/978-3-030-52200-1_14
Autor:
Anton Betten, Fatma Karaoglu
Publikováno v:
Designs, Codes and Cryptography. 87:931-953
In the 1960s, Hirschfeld embarked on a program to classify cubic surfaces with 27 lines over finite fields. This work is a contribution to this problem. We develop an algorithm to classify surfaces with 27 lines over a finite field using the classica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba6a814ed9b1b33fd60c69967a1f67e0
https://doi.org/10.1007/s10623-018-0590-2
https://doi.org/10.1007/s10623-018-0590-2
Publikováno v:
European Journal of Mathematics. 4:37-50
In Hirschfeld (J Austral Math Soc 4(1):83–89, 1964), the existence of the cubic surface which arises from a double-six over the finite field of order four was considered. In Hirschfeld (Rend Mat Appl 26:115–152, 1967), the existence and the prope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e21b2ddd78ca7855152230afe1e10d9
https://doi.org/10.1007/s40879-017-0182-0
https://doi.org/10.1007/s40879-017-0182-0
Publikováno v:
Algebraic Informatics ISBN: 9783030213626
CAI
CAI
A spread in \(\mathrm{PG}(n,q)\) is a set of mutually skew lines which partition the point set. A parallelism is a partition of the set of lines by spreads. The classification of parallelisms in small finite projective spaces is of interest for probl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70b90fc487594f0d292b2cbc873f2782
https://doi.org/10.1007/978-3-030-21363-3_8
https://doi.org/10.1007/978-3-030-21363-3_8
Publikováno v:
Journal of Geometry. 108:75-98
We discuss dual hyperovals of rank 4 over \({{\mathbb{F}}_2}\). In particular, we classify all such dual hyperovals if the ambient space has dimension 7 or 8. We also determine the bilinear dual hyperovals in the case of an ambient space of dimension
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba3f2fb80fa4ff51c33be4ebec4f9e50
https://doi.org/10.1007/s00022-016-0326-2
https://doi.org/10.1007/s00022-016-0326-2