Hidayat, Ardi Nur and Dr. Vira Hari Krisnawati, S.Si.,M.Sc., (2023) Metode Konstruksi Kode Reversibel Self-Dual. Sarjana thesis, Universitas Brawijaya.
Abstract
Kode self-dual adalah suatu kode linear dimana elemen-elemennya sama dengan elemen kode dualnya. Kode reversibel merupakan kode linear yang setiap elemen dari kode tersebut dibalik urutannya juga termuat dalam kode tersebut. Kode self-dual yang reversibel disebut kode reversibel self-dual. Pada skripsi ini dikaji mengenai sifat-sifat kode reversibel self-dual dan konstruksi kode reversibel self-dual. Kode yang dibahas pada skripsi ini merupakan kode atas field berorder dua. Sifat-sifat dari kode reversibel self-dual akan digunakan untuk mengonstruksi kode reversibel self-dual yang lain sehingga menghasilkan matriks generator dari kode tersebut. Kode reversibel self-dual dikonstruksi dari satu kode self-dual berdigit genap, dua kode reversibel self-dual dan satu kode kode reversibel self-dual. Kode reversibel self-dual yang dihasilkan merupakan kode dengan panjang digit genap.
English Abstract
A self-dual code is a linear code whose elements are the same as its dual code elements. A reversible code is a linear code in which every element of the code is also contained in the code in reverse order. A reversible self-dual code is called a reversible self-dual code. The properties of reversible self-dual codes and the construction of self-dual codes are discussed in this final project. The codes discussed in this thesis are codes over fields of order two. The properties of the reversible self-dual code will be used to construct another reversible self-dual code so as to produce the generator matrix of the code. The self-dual reversible code is constructed from one even-digit self-dual code, two self-dual reversible codes and one self-dual reversible code. The self-dual reversible code generated is an even digit length code.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | 052309 |
| Uncontrolled Keywords: | matriks generator, kode, kode reversibel, kode reversibel self-dual, kode self-dual. |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Unnamed user with username nova |
| Date Deposited: | 25 Apr 2024 01:37 |
| Last Modified: | 25 Apr 2024 01:37 |
| URI: | http://repository.ub.ac.id/id/eprint/218569 |
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