Work

Exceptional scattered sequences

Year: 2024

Type: article

Abstract: The concept of scattered polynomials is generalized to those of exceptional scattered sequences which are shown to be the natural algebraic counterpart of 𝔽 q n -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.

Source: Algebraic Combinatorics

DOI: 10.5802/alco.377

Authors: Daniele Bartoli, Giuseppe Marino, Alessandro Neri, Lara Vicino

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond