环F2[u]/(u^2)上形式自对偶码的构造  

Constructions of formally self-dual codes over F2[u]/(u^2)

作　　者：吴梦思 李平[1] WU Mengsi;LI Ping(School of Mathematics, Hefei University of Technology, Hefei 230601, China)

机构地区：[1]合肥工业大学数学学院,安徽合肥230601

出　　处：《合肥工业大学学报（自然科学版）》2020年第4期565-570,共6页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(61572168)。

摘　　要：文章通过推广环Z4上形式自对偶码的构造,给出了环R=F2[u]/(u^2)上形式自对偶码的3种构造方法。通过扩展环R上长度为n的形式自对偶码,构造了该环上长度为n+2的2种形式自对偶码。类似地,得到了环R上长度为n+2的自由的形式自对偶码。This paper generalizes the constructions of formally self-dual codes over Z4,gives three methods for constructions of formally self-dual codes over R=F2[u]/(u^2).Firstly,by extending the formally self-dual code of length n over the ring R,two kinds of formally self-dual codes of length n+2 over the ring are constructed.Similarly,a free formally self-dual code of length n+2 over the ring R is further obtained.

关 键 词：形式自对偶码 形式自对偶奇码 Lee重量计数器 

分 类 号：O157.4[理学—数学]