Z_2Z_4-加性负循环码的对偶Z_2Z_4-additive negacyclic codes
胡万宝;吴晶伶;李萌;
摘要(Abstract):
在Z_2Z_4-加性码的基础上研究其循环码,进一步地引入其负循环码.通过建立Z_2Z_4下的正交关系,得出其对偶仍是一个Z_2Z_4负循环码;通过在Z_2Z_4码与Z_4[x]-子模之间建立同构映射来刻画其负循环码的结构以及码的参数类型,并用构造性的方法推出了其对偶的最小生成集.这些结果,便于码元等参数的计算及其应用.
关键词(KeyWords): Z2Z4-加性码;Z2Z4-加性负循环码;对偶
基金项目(Foundation): 国家自然科学基金(11626032,11601009)
作者(Authors): 胡万宝;吴晶伶;李萌;
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