论文标题
来自块循环矩阵和二次残留循环矩阵的新的极端二进制自动二元代码
New Extremal Binary Self-Dual Codes from Block Circulant Matrices and Block Quadratic Residue Circulant Matrices
论文作者
论文摘要
在本文中，我们从涉及块循环矩阵和嵌段二次残基循环矩阵的结构中构建自动二重要代码。我们提供条件，当该构建可以产生自动划分代码时。我们在F2和F2 + UF2上构建各种长度的自偶代码。使用扩展，邻居和邻居序列，我们构建了许多新的自偶代码。特别是，我们构建了一个长度66和51的新的自偶代码，长度为68。
In this paper, we construct self-dual codes from a construction that involves both block circulant matrices and block quadratic residue circulant matrices. We provide conditions when this construction can yield self-dual codes. We construct self-dual codes of various lengths over F2 and F2 + uF2. Using extensions, neighbours and sequences of neighbours, we construct many new self-dual codes. In particular, we construct one new self-dual code of length 66 and 51 new self-dual codes of length 68.
