Formally self-dual codes over F?[u]/‹u?›

Abstract

In this work, Gray images of formally self-dual codes over the ring S? = F?[u]/‹u?› and some of their construction methods are considered. As a result, a considerable number of good formally self-dual binary codes with large automorphism groups have been obtained from the Gray images of formally self-dual codes over S?. Some have better minimum distances than the best known binary self-dual codes of the same lengths.