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Exceptional scattered sequences
Published 21 Nov 2022 in math.CO, cs.IT, and math.IT | (2211.11477v1)
Abstract: The concept of scattered polynomials is generalized to those of exceptional scattered sequences which are shown to be the natural algebraic counterpart of $\mathbb{F}_{qn}$-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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