Results 11 to 20 of about 2,356,486 (173)
On maximal curves that are not quotients of the Hermitian curve [PDF]
Finite Fields and Their Applications, 2015 For each prime power ź the plane curve X ź with equation Y ź 2 - ź + 1 = X ź 2 - X is maximal over F ź 6 . Garcia and Stichtenoth in 2006 proved that X 3 is not Galois covered by the Hermitian curve and raised the same question for X ź with ź 3 ; in this
M. Giulietti, M. Montanucci, G. Zini
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Curves covered by the Hermitian curve [PDF]
Finite Fields and Their Applications, 1998 A family of maximal curves is investigated that are all quotients of the Hermitian curve. These curves provide examples of curves with the same genus, the same automorphism group and the same Weierstrass semigroup at a generic point, but that are not ...
M. Giulietti +3 more
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Intersection of irreducible curves and the Hermitian curve [PDF]
Journal of AlgebraLet $\mathcal{H}_q$ denote the Hermitian curve in $\mathbb{P}^2$ over $\mathbb{F}_{q^2}$ and $\mathcal{C}_d$ be an irreducible plane projective curve in $\mathbb{P}^2$ also defined over $\mathbb{F}_{q^2}$ of degree $d$.
Peter Beelen +3 more
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Some Ree and Suzuki curves are not Galois covered by the Hermitian curve [PDF]
Finite Fields and Their Applications, 2016 The Deligne-Lusztig curves associated to the algebraic groups of type $^2A_2$, $^2B_2$, and $^2G_2$ are classical examples of maximal curves over finite fields. The Hermitian curve $\mathcal H_q$ is maximal over $\mathbb F_{q^2}$, for any prime power $q$,
M. Montanucci, G. Zini
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On nested code pairs from the Hermitian curve [PDF]
Finite Fields and Their Applications, 2018 Nested code pairs play a crucial role in the construction of ramp secret sharing schemes [16] and in the CSS construction of quantum codes [15]. The important parameters are (1) the codimension, (2) the relative minimum distance of the codes, and (3) the
R. B. Christensen, Olav Geil
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On the spectrum of sizes of semiovals contained in the Hermitian curve [PDF]
European Journal of Combinatorics, 2015 Some constructions and bounds on the sizes of semiovals contained in the Hermitian curve are given. A construction of an infinite family of 2 -blocking sets of the Hermitian curve is also presented.
D. Bartoli +3 more
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On the Hermitian curve and its intersections with some conics [PDF]
Finite Fields and Their Applications, 2014 We classify completely the intersections of the Hermitian curve with parabolas in the affine plane. To obtain our results we employ well-known algebraic methods for finite fields and geometric properties of the curve automorphisms.
Chiara Marcolla, M. Pellegrini, M. Sala
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On the automorphism group of a family of maximal curves not covered by the Hermitian curve
Finite Fields and Their ApplicationsIn this paper we compute the automorphism group of the curves $\mathcal{X}_{a,b,n,s}$ and $\mathcal{Y}_{n,s}$ introduced in Tafazolian et al. in 2016 as new examples of maximal curves which cannot be covered by the Hermitian curve. They arise as subcovers of the first generalized GK curve (GGS curve). As a result, a new characterization of the GK curve,
M. Montanucci, G. Tizziotti, G. Zini
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Gravity induced spontaneous radiation
Nuclear Physics B, 2023 We suggest that behind the black hole information paradox is a new and universal radiation mechanism, Gravity Induced Spontaneous Radiation, or GISR hereafter.
Ding-fang Zeng
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ON PSEUDO-HERMITIAN MAGNETIC CURVES IN SASAKIAN MANIFOLDS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 We define pseudo-Hermitian magnetic curves in Sasakian manifolds endowed with the Tanaka-Webster connection. After we give a complete classification theorem, we construct parametrizations of pseudo-Hermitian magnetic curves in $\mathbb{R}^{2n+1}(-3)$.
Saban Guvenc, Cihan Ozgur
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