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On generalized Sidon spaces - MaRDI portal

On generalized Sidon spaces (Q6640933)

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scientific article; zbMATH DE number 7946921

Language	Label	Description	Also known as
English	On generalized Sidon spaces	scientific article; zbMATH DE number 7946921

Statements

scholarly article

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On generalized Sidon spaces (English)

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Chiara Castello

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Linear Algebra and its Applications

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publication date

20 November 2024

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zbMATH Keywords

Sidon space

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cyclic subspace code

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linearized polynomial

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generalized Sidon space

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MaRDI profile type

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An analogue of Vosper's theorem for extension fields

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Revisiting Kneser's theorem for field extensions

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Scattered trinomials of \(\mathbb{F}_{q^6} [X]\) in even characteristic

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A new family of maximum scattered linear sets in PG(1, q^6)

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On a conjecture about maximum scattered subspaces of \(\mathbb{F}_{q^6}\times\mathbb{F}_{q^6}\)

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Subspace Polynomials and Cyclic Subspace Codes

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Scattered spaces with respect to a spread in \(\text{PG}(n,q)\)

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The Magma algebra system. I: The user language

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Constructions and equivalence of Sidon spaces

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Generalized Sidon sets

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A new family of MRD-codes

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Generalising the scattered property of subspaces

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New maximum scattered linear sets of the projective line

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On linear versions of some addition theorems

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Error-Correcting Codes in Projective Space

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New constructions of large cyclic subspace codes and Sidon spaces

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Automorphism groups and isometries for cyclic orbit codes

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Galois theory and linear algebra

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A generalization of an addition theorem of Kneser.

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Upper and lower bounds on the size of $B_k[g]$ sets

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Coding for Errors and Erasures in Random Network Coding

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Solution to An Isotopism Question Concerning Rank 2 Semifields

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A Large family of maximum scattered linear sets of PG(1,\(q^n\)) and their associated MRD codes

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Linear sets and MRD-codes arising from a class of scattered linearized polynomials

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Blocking sets and derivable partial spreads

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MRD-codes arising from the trinomial \(x^q + x^{q^3} + c x^{q^5} \in \mathbb{F}_{q^6} [x]\)

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A class of linear sets in \(\mathrm{PG} (1,q^5)\)

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Extending two families of maximum rank distance codes

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Several kinds of large cyclic subspace codes via Sidon spaces

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Cyclic subspace codes via subspace polynomials

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Divisible linear rank metric codes

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On the number of roots of some linearized polynomials

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Multivariate public key cryptosystem from Sidon spaces

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Construction of Sidon Spaces With Applications to Coding

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Linearized trinomials with maximum kernel

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A new family of linear maximum rank distance codes

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A Theorem in Finite Projective Geometry and Some Applications to Number Theory

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New scattered linearized quadrinomials

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Isometry and automorphisms of constant dimension codes

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Cyclic Orbit Codes

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Linearized polynomials over finite fields revisited

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A condition for scattered linearized polynomials involving Dickson matrices

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Vertex properties of maximum scattered linear sets of \(\mathrm{PG} ( 1 , q^n )\)

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Constructions of Sidon spaces and cyclic subspace codes

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Constructions of large cyclic constant dimension codes via Sidon spaces

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New constructions of Sidon spaces and large cyclic constant dimension codes

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Further constructions of large cyclic subspace codes via Sidon spaces

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Multi-orbit cyclic subspace codes and linear sets

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Identifiers

10.1016/j.laa.2024.10.015

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6640933

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