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:本文应用Hadamard矩阵的单位导出格式来构造和分析线性分组码与卷积码。所构造的编码具有预设的类型、长度和码率,并导出了多系列自对偶码、含对偶码、线性互补对偶码以及量子纠错码,这些码型同时涵盖线性分组码与卷积码。