SELF-DUAL CODES AND FIXED-POINT-FREE PERMUTATIONS OF ORDER 2

Hyun Jin Kim
2014 Bulletin of the Korean Mathematical Society  
We construct new binary optimal self-dual codes of length 50. We develop a construction method for binary self-dual codes with a fixed-point-free automorphism of order 2. Using this method, we find new binary optimal self-dual codes of length 52. From these codes, we obtain Lee-optimal self-dual codes over the ring F 2 + uF 2 of lengths 25 and 26.
doi:10.4134/bkms.2014.51.4.1175 fatcat:vz5zlg6x4zapda6lv5gr7xgkja