In this note, we reveal a relation between the weight distribution of a concatenated code ensemble based on the Plotkin construction and those of its component codes. The relation may find applications in the calculation of the ensemble weight distributions for many codes, including Reed-Muller (RM)-like codes.
翻译:本文揭示了基于普洛特金构造的级联码系的重量分布与其分量码重量分布之间的关系。该关系可应用于包括类里德-穆勒码在内的多种码系的系重量分布计算。