We construct a family of (n,k) convolutional codes with degree \delta in {k,n-k} that have a maximum distance profile. The field size required for our construction is of the order n^{2\delta}, which improves upon the known constructions of convolutional codes with a maximum distance profile. Our construction is based on the theory of skew polynomials.

翻译：我们构建了一个具有 {k,n-k} 等级为\ delta 的具有 delta 度的共变代码家庭, 其距离配置最大。 我们建筑所需的场面积是 n ⁇ 2\ delta} 的顺序, 该顺序改进了已知的具有最大距离配置的共变代码结构。 我们的构建基于 skew 多元论的理论 。