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Exceptional scattered sequences

Daniele Bartoli, Giuseppe Marino, Alessandro Neri, Lara Vicino

Source record

Source: Crossref

Published: Oct 31, 2024

DOI: 10.5802/alco.377

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Source 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.

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Exceptional scattered sequences — Mathematical Frontier Network