Unit derived schemes applied to Hadamard matrices are used to construct and analyse linear block and convolutional codes. Codes are constructed to prescribed types, lengths and rates and multiple series of self-dual, dual-containing, linear complementary dual and quantum error-correcting of both linear block {\em and} convolutional codes are derived.
翻译:通过将单位导出方案应用于Hadamard矩阵,本文构建并分析了线性分组码与卷积码。所构造的编码具有预设的类型、长度与码率,并导出了多系列自对偶码、含对偶码、线性互补对偶码以及适用于线性分组码和卷积码的量子纠错码。