An algorithm for computing the weight distribution of a linear [n,k] code over a finite field \(\mathbb {F}_{q}\) is developed. The codes are represented by their characteristic vector with respect to a given generator matrix and a generator matrix of the k-dimensional simplex code \(\mathcal {S}_{q,k}\).

中文翻译：

---

线性码的特征向量和权重分布

开发了一种用于计算有限域\（\ mathbb {F} _ {q} \）上线性[ n，k ]码的权重分布的算法。这些代码通过相对于给定生成器矩阵和k维单形代码\（\ mathcal {S} _ {q，k} \）的生成器矩阵的特征向量来表示。