ACADSTAFF UGM
| Title | : | KODE DUAL DAN IDENTITAS MAC WILLIAMS PADA KODE ADITIF (DUAL CODE AND MAC WILLIAMS IDENTITY ON ADDITIVE CODE) |
| Author | : |
MIFTAH YULIATI (1) Prof. Dr. Sri Wahyuni, S.U. (2) Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (3) |
| Date | : | 1 2019 |
| Keyword | : | Dual code, MacWilliams Identity, additive code, additive character, mul- tiplicative character. Dual code, MacWilliams Identity, additive code, additive character, mul- tiplicative character. |
| 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. |
| Group of Knowledge | : | Matematika |
| Original Language | : | Bahasa Indonesia |
| Level | : | Nasional |
| Status | : |
Published
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