线性补对偶拟扭转码
QUASI-TWISTED LINEAR COMPLEMENTARY-DUAL CODES
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摘要: Saleh等在期刊Journal of Applied Mathematics and Computing的第56卷第1期上发表论文“On complementary dual qusai-twist codes”[20],证明了拟扭转码在一定条件下是线性补对偶码(LCD码)。对其中的四个关键性定理进行修正与完善,进一步给出拟扭转码是LCD的充分条件,并由此构造出许多具有优良参数的LCD码。Abstract: Saleh et al. published "On complementary dual qusai-twisted codes" in the first issue of Volume 56 of the important academic journal "Journal of Applied Mathematics and Computing", which proved that quasi-twisted codes are linear complementary dual (LCD) codes under certain conditions. We corrected and improved the four vital theorems, derived a sufficient condition which quasi-twisted codes are LCD, and thus constructed many LCD codes with good parameters.