Exceptional scattered sequences

11/21/2022

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by   Daniele Bartoli, et al.

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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.