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On Quasi-Abelian Complementary Dual Codes

机译:关于准方互补双重代码

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摘要

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.
机译:符合其双重术语的线性码也称为线性互补双代码。准备互补双代码的特征在于使用半固定组代数的已知分解。因此,获得了这些代码的枚举。对于Euclidean和Hermitian内部产品,给出了更多明确的公式。关于欧几里德和麦克尔迪安内部产品的准雅思互补双代码的数量。索引3的渐近良好二元Quasi-abelian互补双代码的序列由索引2的渐近良好二元自双子阶段中额前仲码的现有序列构成。

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