Exceptional scattered sequences
Combinatorics
2022-11-22 v1 Information Theory
math.IT
Abstract
The concept of scattered polynomials is generalized to those of exceptional scattered sequences which are shown to be the natural algebraic counterpart of -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.
Cite
@article{arxiv.2211.11477,
title = {Exceptional scattered sequences},
author = {Daniele Bartoli and Giuseppe Marino and Alessandro Neri and Lara Vicino},
journal= {arXiv preprint arXiv:2211.11477},
year = {2022}
}
Comments
32 pages