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pro vyhledávání: '"Angela Aguglia"'
In this paper we construct different families of orbit codes in the vector spaces of the symmetric bilinear forms, quadratic forms and Hermitian forms on an \begin{document}$ n $\end{document}-dimensional vector space over the finite field \begin{doc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0aa2425ce0052898760ae9242e7bb663
http://hdl.handle.net/11588/876525
http://hdl.handle.net/11588/876525
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a50b9254bc7ba5fa75e5b7e503d9fdbe
We provide a new construction of $[n,9,n-9]_q$ near-MDS codes arising from elliptic curves with $n$ ${\mathbb F}_q$-rational points. Furthermore we show that in some cases these codes cannot be extended to longer near-MDS codes.
Comment: post-re
Comment: post-re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b746da4884209eea1c3b499fe190b16c
http://hdl.handle.net/11589/234339
http://hdl.handle.net/11589/234339
Autor:
Angela Aguglia, Luca Giuzzi
In [A. Aguglia, A. Cossidente, G. Korchmaros, "On quasi-Hermitian varieties", J. Comb. Des. 20 (2012), 433-447] new quasi-Hermitian varieties ${\mathcal M}_{\alpha,\beta}$ in $\mathrm{PG}(r,q^2)$ depending on a pair of parameters $\alpha,\beta$ from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af5400d5c6e6ce322d0ed80a79ad6487
Autor:
Francesco Pavese, Angela Aguglia
In this paper we first provide an infinite family of minimal ( q − 1 ) -fold blocking sets of size q 3 in every affine translation plane of order q 2 . Next, we focus on the regular Hughes plane H ( q 2 ) of order q 2 . It is well known that π = P
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d102fabc5a09d8cd328286afa4bdee4
http://hdl.handle.net/11589/202961
http://hdl.handle.net/11589/202961
Autor:
Angela Aguglia
Publikováno v:
Journal of the Australian Mathematical Society. 107:1-8
We characterize Hermitian cones among the surfaces of degree$q+1$of$\text{PG}(3,q^{2})$by their intersection numbers with planes. We then use this result and provide a characterization of nonsingular Hermitian varieties of$\text{PG}(4,q^{2})$among qu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a77ec10987451dc95ea57eddcb39c6b
https://doi.org/10.1017/s1446788718000253
https://doi.org/10.1017/s1446788718000253
Publikováno v:
Ars Mathematica Contemporanea. 21:#P1.04
In this paper we characterize the non-singular Hermitian variety ℋ(6, q 2 ) of PG(6, q 2 ) , q ≠ 2 among the irreducible hypersurfaces of degree q + 1 in PG(6, q 2 ) not containing solids by the number of its points and the existence of a solid S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0376584f61fdd4d04427bc9b2c08092d
https://doi.org/10.26493/1855-3974.2358.3c9
https://doi.org/10.26493/1855-3974.2358.3c9
Autor:
Francesco Pavese, Angela Aguglia
Publikováno v:
Discrete Mathematics. 343:111634
We provide a characterization of the non-singular Hermitian variety of PG ( 4 , q 2 ) as a hypersurface of degree q + 1 over GF ( q 2 ) with q 7 + q 5 + q 2 + 1 rational points, which does not contain linear subspaces of dimension greater than 1 and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6a10f6197fbb3532643537508705683
https://doi.org/10.1016/j.disc.2019.111634
https://doi.org/10.1016/j.disc.2019.111634
Autor:
Luca Giuzzi, Angela Aguglia
In this article we construct new minimal intersection sets in ${\mathrm{AG}}(r,q^2)$ sporting three intersection numbers with hyperplanes; we then use these sets to obtain linear error correcting codes with few weights, whose weight enumerator we als
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34ae9110d6a8dcc67b00536570771520
http://hdl.handle.net/11379/485356
http://hdl.handle.net/11379/485356