论文标题
新的自偶代码家庭
New families of self-dual codes
论文作者
论文摘要
在最近的论文中，题为“信息理论的{IEEE交易”中接受的“ MDS自偶代码的明确结构”，doi：10.1109/tit.2019.2954877 $ d = p_1+\ cdots+p_n。$在当前的通信中，我们探索了更多来自AG代码的最佳自我双重代码的家庭。具有奇怪特征和几乎MDS自偶代码的MDS自动偶数代码的新家族分别是由零属和一属曲线明确构建的。越来越多的自偶像代码家族是由较高属的代数曲线构建的。
In the recent paper entitled "Explicit constructions of MDS self-dual codes" accepted in { IEEE Transactions on Information Theory}, doi: 10.1109/TIT.2019.2954877, the author has constructed families of MDS self-dual codes from genus zero algebraic geometry (AG) codes, where the AG codes of length $n$ were defined using two divisors $G$ and $D=P_1+\cdots+P_n.$ In the present correspondence, we explore more families of optimal self-dual codes from AG codes. New families of MDS self-dual codes with odd characteristics and those of almost MDS self-dual codes are constructed explicitly from genus zero and genus one curves, respectively. More families of self-dual codes are constructed from algebraic curves of higher genus.
