Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.

Twisted Hermitian Codes

Autor: Austin Allen, Keller Blackwell, Olivia Fiol, Rutuja Kshirsagar, Bethany Matsick, Gretchen L. Matthews, Zoe Nelson

Publikováno v: Mathematics, Vol 9, Iss 1, p 40 (2020)

We define a family of codes called twisted Hermitian codes, which are based on Hermitian codes and inspired by the twisted Reed–Solomon codes described by Beelen, Puchinger, and Nielsen. We demonstrate that these new codes can have high-dimensional

Externí odkaz: https://doaj.org/article/9d6724a4e8b14b22896d3c0a2197490b

Twisted Hermitian Codes

Autor: Zoe Nelson, Rutuja Kshirsagar, Austin Allen, Bethany Matsick, Gretchen L. Matthews, Olivia Fiol, Keller Blackwell

Publikováno v: Mathematics, Vol 9, Iss 40, p 40 (2021)
Mathematics
Volume 9
Issue 1

We define a family of codes called twisted Hermitian codes, which are based on Hermitian codes and inspired by the twisted Reed&ndash
Solomon codes described by Beelen, Puchinger, and Nielsen. We demonstrate that these new codes can have high-di

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::568d7ef2a7958df5ccaf96161eee9d68
https://www.mdpi.com/2227-7390/9/1/40

Fp2-maximal curves with many automorphisms are Galois-covered by the Hermitian curve

Autor: Fernando Torres, Maria Montanucci, Daniele Bartoli

Publikováno v: Bartoli, D, Montanucci, M & Torres, F 2021, ' F p2-maximal curves with many automorphisms are Galois-covered by the Hermitian curve ', Advances in Geometry, vol. 21, no. 3, pp. 325-336 . https://doi.org/10.1515/advgeom-2021-0013

Let 𝔽 be the finite field of orderq2. It is sometimes attributed to Serre that any curve 𝔽-covered by the Hermitian curveHq+1:yq+1=xq+x${{\mathcal{H}}_{q+1}}:{{y}^{q+1}}={{x }^{q}}+x$is also 𝔽-maximal. For prime numbersqwe show that every �

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f528a4c8acdb7a6d8710faf8cf676747
https://orbit.dtu.dk/en/publications/6248107c-63dd-4f87-ab10-2dfc0d2b879c

Quotients of the Hermitian curve from subgroups of $$\mathrm{PGU}(3,q)$$ without fixed points or triangles

Autor: Giovanni Zini, Maria Montanucci

Publikováno v: Montanucci, M & Zini, G 2019, ' Quotients of the Hermitian curve from subgroups of PGU(3,q) without fixed points or triangles ', Journal of Algebraic Combinatorics . https://doi.org/10.1007/s10801-019-00905-7

In this paper, we deal with the problem of classifying the genera of quotient curves $${\mathcal {H}}_q/G$$ , where $${\mathcal {H}}_q$$ is the $${\mathbb {F}}_{q^2}$$ -maximal Hermitian curve and G is an automorphism group of $${\mathcal {H}}_q$$ .

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66442a1760cdcd42a318878ec73968d8
https://doi.org/10.1007/s10801-019-00905-7