Results 131 to 140 of about 2,356,486 (173)

Dynamic control of 2D non-Hermitian photonic corner skin modes in synthetic dimensions. [PDF]

open access: yesNat Commun
Zheng X   +7 more
europepmc   +1 more source
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Hermitian-invariant codes from the Hermitian curve

Sao Paulo Journal of Mathematical Sciences, 2022
In this paper the author constructs error-correcting codes with large automorphism group compared to their length using the family of curves called Hermitian curves. The method of this paper under review closely follows an earlier paper by \textit{A. Eid} et al. [Des. Codes Cryptography 81, No. 3, 413--425 (2016; Zbl 1396.94114)].
Abdulla Eid
exaly   +3 more sources

Galois Points for a Hermitian Curve

Communications in Algebra, 2006
The description of Galois points with respect to a Hermitian curve is given, which suggests that Yoshihara's theory of Galois points needs modifying if the characteristic of the ground field is positive.
Masaaki Homma
exaly   +3 more sources

Relatives of the Hermitian curve

open access: yesJournal of Geometry
We introduce the notion of a relative of the Hermitian curve of degree q+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
Masaaki Homma, Seon Jeong Kim
semanticscholar   +3 more sources

Weierstrass Semigroups and Codes from a Quotient of the Hermitian Curve

Designs, Codes, and Cryptography, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gretchen Matthews
exaly   +3 more sources

A maximal curve which is not a Galois subcover of the Hermitian curve

Bulletin of the Brazilian Mathematical Society, 2006
We present a maximal curve of genus 24 defined over $$ {\Bbb F}_{{q^{2} }} $$ with q = 27, that is not a Galois subcover of the Hermitian curve.
Henning Stichtenoth   +1 more
exaly   +3 more sources

On maximal curves which are not Galois subcovers of the Hermitian curve [PDF]

open access: yesBulletin of the Brazilian Mathematical Society, New Series, 2010
We show that the generalized Giulietti-Korchmáros curve defined over $$\mathbb{F}_{q^{2n} }$$, for n ≥ 3 odd and q ≥ 3, is not a Galois subcover of the Hermitian curve over $$\mathbb{F}_{q^{2n} }$$.
I. Duursma, Kit-Ho Mak
semanticscholar   +3 more sources

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