New families of self-dual codes
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In the recent paper entitled "Explicit constructions of MDS self-dual codes" accepted in IEEE Transactions on Information Theory, doi: 10.1109/TIT.2019.2954877, the author has constructed families of MDS self-dual codes from genus zero algebraic geometry (AG) codes, where the AG codes of length n were defined using two divisors G and D=P_1+...+P_n. In the present correspondence, we explore more families of optimal self-dual codes from AG codes. New families of MDS self-dual codes with odd characteristics and those of almost MDS self-dual codes are constructed explicitly from genus zero and genus one curves, respectively. More families of self-dual codes are constructed from algebraic curves of higher genus.
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