Z 2 Z 4 - Additive Formally Self - Dual Codes
نویسنده
چکیده
We study odd and even Z2Z4 formally self-dual codes. The images of these codes are binary codes whose weight enumerators are that of a formally self-dual code but may not be linear. Three constructions are given for formally self-dual codes and existence theorems are given for codes of each type defined in the paper.
منابع مشابه
Linear codes over Z4+uZ4: MacWilliams identities, projections, and formally self-dual codes
Linear codes are considered over the ring Z 4 + uZ 4 , a non-chain extension of Z 4. Lee weights, Gray maps for these codes are defined and MacWilliams identities for the complete, symmetrized and Lee weight enumer-ators are proved. Two projections from Z 4 + uZ 4 to the rings Z 4 and F 2 + uF 2 are considered and self-dual codes over Z 4 +uZ 4 are studied in connection with these projections. ...
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تاریخ انتشار 2015