A linear block code over a field can be derived from a unit scheme. Looking at codes as structures within a unit scheme greatly extends the availability of linear block and convolutional codes and allows the construction of the codes to required length, rate, distance and type. Properties of a code emanate from properties of the unit from which it was derived. %% can thus be constructed and analysed by designating the units whose properties would give the required codes. Orthogonal units, units in group rings, Fourier/Vandermonde units and related units are used to construct and analyse linear block and convolutional codes and to construct these to predefined length, rate, distance and type. Self-dual, dual containing, quantum error-correcting and complementary dual linear block and convolutional codes are constructed. Low density parity check linear block and convolutional codes are constructed using group rings and are constructed with no short cycles in the control matrix. From a single unit, multiple codes of a required type are derivable.

翻译：域上的线性分组码可从单位方案导出。将码视为单位方案内的结构，极大地扩展了线性分组码和卷积码的可用性，并允许按照所需长度、码率、距离和类型构建码。码的性质源自导出该码的单位的性质，因此可通过指定具有所需性质的单位来构建和分析码。正交单位、群环中的单位、傅里叶/范德蒙德单位及相关单位被用于构建和分析线性分组码与卷积码，并按照预定义的长度、码率、距离和类型进行构建。构建了自对偶、包含对偶、量子纠错及互补对偶的线性分组码与卷积码。利用群环构建了低密度奇偶校验线性分组码与卷积码，且其校验矩阵中不含短环。从单个单位可导出所需类型的多个码。