Linear codes that meet their dual trivially are also known as linear complementary dual codes. Quasi-abelian complementary dual codes are characterized using a known decomposition of a semisimple group algebra. Consequently, enumeration of such codes are obtained. More explicit formulas are given for the number of quasi-abelian complementary dual codes of index 2 with respect to Euclidean and Hermitian inner products. A sequence of asymptotically good binary quasi-abelian complementary dual codes of index 3 is constructed from an existing sequence of asymptotically good binary self-dual quasi-abelian codes of index 2.
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机译:部分参数[n i Sub>]&[m j Sub>] f(h)↓CD Sub>的部分乘积模拟信号的有序序列的生成方法乘数± Sup> [n i Sub>] f(2 n Sup>)和± Sup> [m j Sub >] f(2 n Sup>)-金字塔乘数f Σ Sub>(↓ CD Sub>Σ)中的“互补代码”,用于连续逻辑减法f 1 Sub>(CD↓)并以格式± Sup> [S Σ Sub>] f(2 n Sup>)生成结果和-“补充代码”及其实现的功能结构(俄罗斯逻辑版本)