Codes considered as structures within unit schemes greatly extends the availability of linear block and convolutional codes and allows the construction of these codes to required length, rate, distance and type. Properties of a code emanate from properties of the unit from which it was derived. 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 linear complementary dual codes are constructed for both linear block and convolutional codes. Low density parity check linear block and convolutional codes are constructed with no short cycles in the control matrix.

翻译：将码视为单位方案中的结构，极大地扩展了线性分组码和卷积码的可用性，并允许按所需长度、码率、距离和类型来构造这些码。码的性质源于其衍生单位的性质。正交单位、群环中的单位、傅里叶/范德蒙单位及相关单位被用于构造和分析线性分组码与卷积码，并可按预定义的长度、码率、距离和类型构建这些码。针对线性分组码和卷积码，构造了自对偶码、对偶包含码、量子纠错码和线性互补对偶码。同时构造了校验矩阵中无短环的低密度奇偶校验线性分组码与卷积码。