Construction of reversible self-dual codes

Hyun Jin Kim, Whan Hyuk Choi, Yoonjin Lee

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish
Article number101714
JournalFinite Fields and their Applications
StatePublished - Oct 2020


  • Automorphism
  • Equivalence
  • Optimal code
  • Reversible code
  • Self-dual code


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