论文标题
subsodule代码作为建筑物的球形代码
Submodule codes as spherical codes in buildings
论文作者
论文摘要
我们通过有限的交换链环的模块代码对子空间代码进行了概括。我们定义了一类新的Sperner代码，并使用极端组合学的结果来证明在不同情况下此类代码的最佳性。此外，我们解释了与Bruhat-tits建筑物的联系，并展示了我们的代码是欧几里得意义上的建筑物的类似物的类似物。
We give a generalization of subspace codes by means of codes of modules over finite commutative chain rings. We define a new class of Sperner codes and use results from extremal combinatorics to prove the optimality of such codes in different cases. Moreover, we explain the connection with Bruhat-Tits buildings and show how our codes are the buildings' analogue of spherical codes in the Euclidean sense.
