摘要
文章运用有限链环理论,研究了环R=Fpm+uFpm上的任意长度的负循环码,通过环R上线性码的剩余码及挠码给出了环R上长度为1的负循环码及其对偶码的结构,并分别确定了p=2和p>2时自对偶负循环码存在的充分必要条件。
By using the theory of finite chain rings,the negacyclic codes of arbitrary length over R=Fpm+uFpmare studied.By the residue code and torsion code of linear codes over the ring R,the structures of negacyclic codes over the ring R whose length is one and their dual codes are given,and the sufficient and necessary conditions about the existence of self-dual negacyclic codes are also determined when p=2or p>2.
引文
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