FORMALLY SELF-DUAL CODES OVER ????2 [u]/⟨u4⟩

FORMALLY SELF-DUAL CODES OVER ????2 [u]/⟨u4⟩

Z. Ö. Özger, B. Yıldız

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Abstract

In this work, Gray images of formally self-dual codes over the ring S4 = F2[u]=hu4i 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 S4. Some have better minimum distances than the best known binary self-dual codes of the same lengths.

Keywords

Lee weight,  nite chain rings, formally self-dual codes, double-circulant construction.