Maximum distance separable convolutional codes are characterized by the property that the free distance reaches the generalized Singleton bound, which makes them optimal for error correction. However, the existing constructions of such codes are available over fields of large size. In this paper, we present the unique construction of MDS convolutional codes of rate 1/2 and degree 5 over the field F_{11}.

翻译：最大距离可分卷积码的特性在于其自由距离达到广义Singleton界，这使得它们在纠错方面达到最优。然而，现有此类码的构造只能在大规模域上实现。本文提出了在域F_{11}上唯一存在的1/2码率、5度MDS卷积码的构造方法。