We give a new technique for constructing self-dual codes based on a block matrix whose blocks arise from group rings and orthogonal matrices. The technique can be used to construct self-dual codes over finite commutative Frobenius rings of characteristic 2. We give and prove the necessary conditions needed for the technique to produce self-dual codes. We also establish the connection between self-dual codes generated by the new technique and units in group rings. Using the construction together with the building-up construction, we obtain new extremal binary self-dual codes of lengths 64, 66 and 68 and new best known binary self-dual codes of length 80.

我们给出了一种基于块矩阵构造自对偶码的新技术，该块矩阵的块由群环和正交矩阵产生。该技术可用于在特征为2的有限交换Frobenius环上构造自对偶码。我们给出并证明了该技术产生自对偶码所需的必要条件。我们还建立了新技术生成的自对偶代码与群环中的单元之间的联系。使用该构造与构建构造一起，我们获得了长度为 64、66 和 68 的新的极值二进制自对偶码和长度为 80 的新的最著名的二进制自对偶码。