On generalized Sidon spaces
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Publication:6640933
DOI10.1016/j.laa.2024.10.015MaRDI QIDQ6640933
Publication date: 20 November 2024
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Finite fields and commutative rings (number-theoretic aspects) (11T99) Polynomials over finite fields (11T06)
Cites Work
- Title not available (Why is that?)
- A new family of linear maximum rank distance codes
- Galois theory and linear algebra
- The Magma algebra system. I: The user language
- Scattered spaces with respect to a spread in \(\text{PG}(n,q)\)
- A new family of MRD-codes
- Revisiting Kneser's theorem for field extensions
- New maximum scattered linear sets of the projective line
- A generalization of an addition theorem of Kneser.
- Isometry and automorphisms of constant dimension codes
- Generalized Sidon sets
- Linear sets and MRD-codes arising from a class of scattered linearized polynomials
- Generalising the scattered property of subspaces
- Multivariate public key cryptosystem from Sidon spaces
- A class of linear sets in \(\mathrm{PG} (1,q^5)\)
- Extending two families of maximum rank distance codes
- Constructions of Sidon spaces and cyclic subspace codes
- MRD-codes arising from the trinomial \(x^q + x^{q^3} + c x^{q^5} \in \mathbb{F}_{q^6} [x\)]
- On the number of roots of some linearized polynomials
- Linearized trinomials with maximum kernel
- On a conjecture about maximum scattered subspaces of \(\mathbb{F}_{q^6}\times\mathbb{F}_{q^6}\)
- A condition for scattered linearized polynomials involving Dickson matrices
- Several kinds of large cyclic subspace codes via Sidon spaces
- Vertex properties of maximum scattered linear sets of \(\mathrm{PG} ( 1 , q^n )\)
- Cyclic subspace codes via subspace polynomials
- Linearized polynomials over finite fields revisited
- New constructions of large cyclic subspace codes and Sidon spaces
- Constructions of large cyclic constant dimension codes via Sidon spaces
- Further constructions of large cyclic subspace codes via Sidon spaces
- Multi-orbit cyclic subspace codes and linear sets
- Subspace Polynomials and Cyclic Subspace Codes
- Coding for Errors and Erasures in Random Network Coding
- On linear versions of some addition theorems
- A new family of maximum scattered linear sets in PG(1, q^6)
- Solution to An Isotopism Question Concerning Rank 2 Semifields
- Error-Correcting Codes in Projective Space
- Cyclic Orbit Codes
- An analogue of Vosper's theorem for extension fields
- Construction of Sidon Spaces With Applications to Coding
- A Theorem in Finite Projective Geometry and Some Applications to Number Theory
- Upper and lower bounds on the size of $B_k[g$ sets]
- Blocking sets and derivable partial spreads
- A Large family of maximum scattered linear sets of PG(1,\(q^n\)) and their associated MRD codes
- Automorphism groups and isometries for cyclic orbit codes
- New constructions of Sidon spaces and large cyclic constant dimension codes
- Constructions and equivalence of Sidon spaces
- Scattered trinomials of \(\mathbb{F}_{q^6} [X\) in even characteristic]
- Divisible linear rank metric codes
- New scattered linearized quadrinomials
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