Construction of reversible self dual codes
Abstract 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.
Finite Fields Their Appl.