We study a construction method of binary reversible self-dual codes in this paper. Reversible codes have good properties in applications, and it is interesting to note that a class of reversible codes is closely connected to BCH codes and LCD codes. We first characterize binary reversible self-dual codes. Using these characteristics of reversible self-dual codes, we find an explicit method for constructing all the binary reversible self-dual codes up to equivalence. Furthermore, using this construction, we obtain nine optimal reversible self-dual codes of length 70 which are all inequivalent, and these codes are all new with respect to binary self-dual codes; they all have the same parameter $[70,35,12]$ and their automorphism groups have the same order two.

本文研究了二进制可逆自对偶码的构造方法。可逆代码在应用中具有良好的性能，有趣的是，一类可逆代码与BCH代码和LCD代码紧密相关。我们首先描述二进制可逆的自我对偶代码。利用可逆自对偶码的这些特性，我们找到了一种显式的方法来构造所有等价的可逆自对偶码。此外，使用这种构造，我们获得了九个长度均为70的最优可逆自对偶码，它们都是不等价的，并且相对于二进制自对偶码，这些码都是新的。它们都有相同的参数$[70，35，12]$ 它们的同构群具有相同的二阶。