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Exceptional scattered sequences
Daniele Bartoli, Giuseppe Marino, Alessandro Neri, Lara Vicino · 2022-11-21 · via cs.IT updates on arXiv.org

The concept of scattered polynomials is generalized to those of exceptional scattered sequences which are shown to be the natural algebraic counterpart of $\mathbb{F}_{q^n}$-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.

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