@inproceedings{78a048a2cb2449199b073eb57440b6c3,
title = "Construction of self-dual codes in the Rosenbloom-Tsfasman metric",
abstract = "Linear code is a very basic code and very useful in coding theory. Generally, linear code is a code over finite field in Hamming metric. Among the most interesting families of codes, the family of self-dual code is a very important one, because it is the best known error-correcting code. The concept of Hamming metric is develop into Rosenbloom-Tsfasman metric (RT-metric). The inner product in RT-metric is different from Euclid inner product that is used to define duality in Hamming metric. Most of the codes which are self-dual in Hamming metric are not so in RT-metric. And, generator matrix is very important to construct a code because it contains basis of the code. Therefore in this paper, we give some theorems and methods to construct self-dual codes in RT-metric by considering properties of the inner product and generator matrix. Also, we illustrate some examples for every kind of the construction.",
keywords = "Linear code, RT-metric, generator matrix, inner product, self-dual code",
author = "Krisnawati, \{Vira Hari\} and Nisa, \{Anzi Lina Ukhtin\}",
note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017 ; Conference date: 02-08-2017 Through 03-08-2017",
year = "2017",
month = dec,
day = "5",
doi = "10.1063/1.5016650",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Adem Kilicman and Marjono and Wibowo, \{Ratno Bagus Edy\} and Imron, \{Moch. Aruman\}",
booktitle = "International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017",
}