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.
翻译:分散的多语种的概念被广泛推广到例外的分散序列的概念,这些序列被证明是$\mathbb{F ⁇ q ⁇ n}$-linear MRD 代码的自然代数对应物。在第一个非三语情况下,也提供了第一个无限家庭,并考虑了等同问题。作为一个副产品,获得了一个新的无限的MRD 代码大家庭。