论文标题

特殊的分散序列

Exceptional scattered sequences

论文作者

Bartoli, Daniele, Marino, Giuseppe, Neri, Alessandro, Vicino, Lara

论文摘要

散射多项式的概念被推广到异常散射序列的概念,这些序列被证明是$ \ mathbb {f} _ {q^n} $ - 线性MRD代码的天然代数对应物。还提供了第一个非平凡案件中的第一个无限家庭,并考虑了等效问题。作为副产品,获得了新的无限MRD代码系列。

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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