刊名:Applicable Algebra in Engineering, Communication and Computing
出版年:2016
出版时间:November 2016
年:2016
卷:27
期:5
页码:435-449
全文大小:421 KB
刊物类别:Computer Science
刊物主题:Symbolic and Algebraic Manipulation Computer Hardware Theory of Computation Artificial Intelligence and Robotics
出版者:Springer Berlin / Heidelberg
ISSN:1432-0622
卷排序:27
文摘
We shall describe several families of X-rings and construct self-dual and formally self-dual codes over these rings. We then use a Gray map to construct binary formally self-dual codes from these codes. In several cases, we produce binary formally self-dual codes with larger minimum distances than known self-dual codes. We also produce non-linear codes which are better than the best known linear codes.