New scattered linearized quadrinomials
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Publication:6618710
DOI10.1016/J.LAA.2024.08.012MaRDI QIDQ6618710
Corrado Zanella, Valentino Smaldore, Ferdinando Zullo
Publication date: 15 October 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) Polynomials over finite fields (11T06)
Cites Work
- A new family of linear maximum rank distance codes
- Linear sets in finite projective spaces
- Galois extensions and subspaces of alternating bilinear forms with special rank properties
- Theory of codes with maximum rank distance
- Bilinear forms over a finite field, with applications to coding theory
- Classes and equivalence of linear sets in \(\mathrm{PG}(1,q^{n})\)
- Linear sets and MRD-codes arising from a class of scattered linearized polynomials
- Extending two families of maximum rank distance codes
- Partially scattered linearized polynomials and rank metric codes
- Scattered spaces in Galois geometry
- Connections between scattered linear sets and MRD-codes
- A new family of maximum scattered linear sets in PG(1, q^6)
- Blocking sets and derivable partial spreads
- A Large family of maximum scattered linear sets of PG(1,\(q^n\)) and their associated MRD codes
- A standard form for scattered linearized polynomials and properties of the related translation planes
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