The Grassmannian is an important object in Algebraic Geometry. One of the many techniques used to study the Grassmannian is to build a vector space from its points in the projective embedding and study the properties of the resulting linear code. We introduce a new class of linear codes, called Affine Hermitian Grassman Codes. These codes are the linear codes resulting from an affine part of the projection of the Polar Hermitian Grassmann codes. They combine Polar Hermitian Grassmann codes and Affine Grassmann codes. We will determine the parameters of these codes and discuss their minimum distance codewords.
翻译：格拉斯曼尼是代数几何学中的一个重要对象。 用于研究格拉斯曼尼的多种技术之一是从投影嵌入点建立矢量空间并研究由此形成的线性代码的特性。 我们引入了一种新的线性代码, 叫做 Affine Hermitian Grassman 代码。 这些代码是极地赫米提亚草地代码投影的折合部分产生的线性代码。 它们结合了极地赫米提亚格拉斯曼代码和阿芬格拉斯曼代码。 我们将确定这些代码的参数, 并讨论它们的最低距离代码 。
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