| Abstrak/Abstract |
Additive code is a generalization of linear code. It is dened as subgroup
of a nite Abelian group. The denitions of Hamming distance, Hamming weight,
weight distribution, and homogeneous weight distribution in additive code are similar
with the denitions in linear code. Dierent with linear code where the dual code is
dened using inner product, additive code using theories in group to dene its dual
code because in group theory we do not have term of inner product. So, by this paper,
the denitions of dual code in additive code will be discussed. Then, this paper discuss
about a familiar theorem in dual code theory, that is MacWilliams Identity. Next,
this paper discuss about how to proof of MacWilliams Identity on adiitive code using
dual codes which are dened. |
