论文标题
来自2x2块循环矩阵，圆环和邻居的新自动偶数代码
New Self-Dual Codes from 2x2 Block Circulant Matrices, Group Rings and Neighbours of Neighbours
论文作者
论文摘要
在本文中，我们从涉及2x2块循环矩阵，组环和反向循环矩阵的结构中构建自动二重要代码。我们提供条件，该构建可以产生自偶代码。我们在F2，F2 + UF2和F4 + UF4上构建各种长度的自偶代码。使用扩展，邻居和邻居的邻居，我们构造了32个长度的新自偶代码68。
In this paper, we construct self-dual codes from a construction that involves 2x2 block circulant matrices, group rings and a reverse circulant matrix. We provide conditions whereby this construction can yield self-dual codes. We construct self-dual codes of various lengths over F2, F2 + uF2 and F4 + uF4. Using extensions, neighbours and neighbours of neighbours, we construct 32 new self-dual codes of length 68.
