Exceptional scattered sequences
The concept of scattered polynomials is generalized to those of exceptional scattered sequences which are shown to be the natural algebraic counterpart of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>𝔽</mml:mi> <mml:msup> <mml:mi>q</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:msub> </mml:math> -linear MRD codes. The first infinite family in the first nontrivial case is also provided and equivalence issues are considered. As a byproduct, a new infinite family of MRD codes is obtained.
Authors
- Giuseppe Marino (ORCID: https://orcid.org/0000-0001-9381-9338)
- Daniele Bartoli (ORCID: https://orcid.org/0000-0002-5767-1679)
- Alessandro Neri (ORCID: https://orcid.org/0000-0002-2020-1040)
- Lara Vicino (ORCID: https://orcid.org/0000-0002-7480-8681)
Publication Details
- Journal
- Algebraic Combinatorics
- Published
- 2024-10-31
- DOI
- https://doi.org/10.5802/alco.377
- Citations
- 2
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.69
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Fonds Wetenschappelijk Onderzoek
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek
- Vlaamse regering
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni