Scattered polynomials: an overview on their properties, connections and applications
Fuente:
arXiv
Saved in:
| Main Author: | Longobardi, Giovanni |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Minimal codes from hypersurfaces in even characteristic
by: Aguglia, Angela, et al.
Published: (2025)
by: Aguglia, Angela, et al.
Published: (2025)
A standard form for scattered linearized polynomials and properties of the related translation planes
by: Longobardi, Giovanni, et al.
Published: (2022)
by: Longobardi, Giovanni, et al.
Published: (2022)
Towards the classification of maximum scattered linear sets of $\mathrm{PG}(1,q^5)$
by: Lia, Stefano, et al.
Published: (2025)
by: Lia, Stefano, et al.
Published: (2025)
Incidence and Combinatorial Properties of Linear Complexes
by: Havlicek, Hans, et al.
Published: (2013)
by: Havlicek, Hans, et al.
Published: (2013)
A geometric characterization of known maximum scattered linear sets of $\mathrm{PG}(1,q^n)$
by: Grimaldi, Giovanni Giuseppe, et al.
Published: (2024)
by: Grimaldi, Giovanni Giuseppe, et al.
Published: (2024)
Scattered trinomials of $\mathbb{F}_{q^6}[X]$ in even characteristic
by: Bartoli, Daniele, et al.
Published: (2023)
by: Bartoli, Daniele, et al.
Published: (2023)
The minimum weight of the code of intersecting lines in ${\rm PG}(3,q)$
by: Adriaensen, Sam, et al.
Published: (2024)
by: Adriaensen, Sam, et al.
Published: (2024)
On regular sets of affine type in finite Desarguesian planes and related codes
by: Aguglia, Angela, et al.
Published: (2023)
by: Aguglia, Angela, et al.
Published: (2023)
Cones from maximum $h$-scattered linear sets and a stability result
by: Adriaensen, Sam, et al.
Published: (2022)
by: Adriaensen, Sam, et al.
Published: (2022)
List of constructions of $NO^+(6,2)$
by: Smaldore, Valentino
Published: (2025)
by: Smaldore, Valentino
Published: (2025)
Even Sets and Dual Projective Geometric Codes: A Tale of Cylinders
by: Adriaensen, Sam
Published: (2026)
by: Adriaensen, Sam
Published: (2026)
Regular sets of lines in rank 3 polar spaces
by: Ihringer, Ferdinand, et al.
Published: (2023)
by: Ihringer, Ferdinand, et al.
Published: (2023)
Divisible designs from twisted dual numbers
by: Blunck, Andrea, et al.
Published: (2013)
by: Blunck, Andrea, et al.
Published: (2013)
Cameron-Liebler sets of generators in the Klein quadric $Q^+(5,q)$
by: D'haeseleer, Jozefien, et al.
Published: (2025)
by: D'haeseleer, Jozefien, et al.
Published: (2025)
Mutually orthogoval projective and affine spaces
by: Saaltink, Mark
Published: (2024)
by: Saaltink, Mark
Published: (2024)
On the Hermitian Veronesean
by: Bamberg, John, et al.
Published: (2025)
by: Bamberg, John, et al.
Published: (2025)
Analysing 2-$(v,k,2)$ designs admitting a flag-transitive almost simple automorphism group with socle $PSL(2,q)$ by means of conics and hyperovals of $PG(2,q)$
by: Montinaro, Alessandro, et al.
Published: (2024)
by: Montinaro, Alessandro, et al.
Published: (2024)
A note on small weight codewords of projective geometric codes and on the smallest sets of even type
by: Adriaensen, Sam
Published: (2023)
by: Adriaensen, Sam
Published: (2023)
An infinite family of non-extendable MRD codes
by: Bartoli, Daniele, et al.
Published: (2026)
by: Bartoli, Daniele, et al.
Published: (2026)
Linear sets in the projective line over the endomorphism ring of a finite field
by: Havlicek, Hans, et al.
Published: (2016)
by: Havlicek, Hans, et al.
Published: (2016)
Further results on covering codes with radius R and codimension tR + 1
by: Davydov, Alexander A., et al.
Published: (2023)
by: Davydov, Alexander A., et al.
Published: (2023)
Blocking sets, minimal codes and trifferent codes
by: Bishnoi, Anurag, et al.
Published: (2023)
by: Bishnoi, Anurag, et al.
Published: (2023)
Code-based $[3,1]$-avoiders in finite affine spaces $\mathrm{AG}(n,2)$
by: Kovács, Benedek
Published: (2025)
by: Kovács, Benedek
Published: (2025)
On the $PGL_2(q)$-orbits of lines of $PG(3,q)$ and binary quartic forms in characteristic three
by: Kaipa, Krishna, et al.
Published: (2025)
by: Kaipa, Krishna, et al.
Published: (2025)
Incidence of lines, points, and planes in $PG(3,q)$ with respect to the twisted cubic
by: Kaipa, Krishna, et al.
Published: (2025)
by: Kaipa, Krishna, et al.
Published: (2025)
Confluence Graphs of Unitals
by: Grundhöfer, Theo, et al.
Published: (2023)
by: Grundhöfer, Theo, et al.
Published: (2023)
The Intersection Distribution: New Results and Perspectives
by: Huczynska, Sophie, et al.
Published: (2025)
by: Huczynska, Sophie, et al.
Published: (2025)
Combinatorial structure of low degree rational curves on a smooth Hermitian surface
by: Ojiro, Norifumi
Published: (2026)
by: Ojiro, Norifumi
Published: (2026)
On the minimum size of linear sets
by: Adriaensen, Sam, et al.
Published: (2023)
by: Adriaensen, Sam, et al.
Published: (2023)
Higher weight spectra of ternary codes associated to the quadratic Veronese $3$-fold
by: Kaipa, Krishna, et al.
Published: (2024)
by: Kaipa, Krishna, et al.
Published: (2024)
Vandermonde sets and hyperovals
by: Abdukhalikov, Kanat, et al.
Published: (2019)
by: Abdukhalikov, Kanat, et al.
Published: (2019)
How many cards should you lay out in a game of EvenQuads?: A detailed study of caps in AG(n,2)
by: Crager, Julia, et al.
Published: (2022)
by: Crager, Julia, et al.
Published: (2022)
How Many Cards Should You Lay Out in Quad-128: A Classification of Caps in AG(7,2)
by: Calta, Karianne, et al.
Published: (2025)
by: Calta, Karianne, et al.
Published: (2025)
Non-linear MRD codes from cones over exterior sets
by: Durante, Nicola, et al.
Published: (2023)
by: Durante, Nicola, et al.
Published: (2023)
On the $PGL_2(q)$-orbits of lines of $PG(3,q)$ and binary quartic forms
by: Kaipa, Krishna, et al.
Published: (2023)
by: Kaipa, Krishna, et al.
Published: (2023)
On line-parallelisms of PG(3, q)
by: Pavese, Francesco, et al.
Published: (2025)
by: Pavese, Francesco, et al.
Published: (2025)
Regular Cyclic $(q+1)$-Arcs in $\PG(3,2^m)$: Spectral Rigidity, Descent, and an MDS Criterion
by: Chen, Bocong, et al.
Published: (2025)
by: Chen, Bocong, et al.
Published: (2025)
Symplectic spreads, planar functions and mutually unbiased bases
by: Abdukhalikov, Kanat
Published: (2013)
by: Abdukhalikov, Kanat
Published: (2013)
On the maximum field of linearity of linear sets
by: Csajbók, Bence, et al.
Published: (2023)
by: Csajbók, Bence, et al.
Published: (2023)
On Geometry and Combinatorics of Finite Classical Polar Spaces
by: Smaldore, Valentino
Published: (2024)
by: Smaldore, Valentino
Published: (2024)
Similar Items
-
Minimal codes from hypersurfaces in even characteristic
by: Aguglia, Angela, et al.
Published: (2025) -
A standard form for scattered linearized polynomials and properties of the related translation planes
by: Longobardi, Giovanni, et al.
Published: (2022) -
Towards the classification of maximum scattered linear sets of $\mathrm{PG}(1,q^5)$
by: Lia, Stefano, et al.
Published: (2025) -
Incidence and Combinatorial Properties of Linear Complexes
by: Havlicek, Hans, et al.
Published: (2013) -
A geometric characterization of known maximum scattered linear sets of $\mathrm{PG}(1,q^n)$
by: Grimaldi, Giovanni Giuseppe, et al.
Published: (2024)