CONSTRUCTION OF MDS, MDR, NEAR-MDS OR NEAR-MDR SELF-DUAL AND SELF-ORTOGONAL CODES OVER FINITE RINGS Zpm

In 2008, Heisook Lee and Yoojin Lee introduced a building-up method to construct self-dual or self-orthogonal codes over finite rings Zpm of even length, for pm = 25, 125, 169, 289. In this thesis we obtained new self-dual or self-orthogonal codes over finite rings Zpm of even or odd length, for pm...

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Main Author:	ELVIYENTI (NIM: 20110007), MONA
Format:	Theses
Language:	Indonesia
Online Access:	https://digilib.itb.ac.id/gdl/view/16502
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Institution:	Institut Teknologi Bandung
Language:	Indonesia

id	id-itb.:16502
spelling	id-itb.:165022017-09-27T14:41:43ZCONSTRUCTION OF MDS, MDR, NEAR-MDS OR NEAR-MDR SELF-DUAL AND SELF-ORTOGONAL CODES OVER FINITE RINGS Zpm ELVIYENTI (NIM: 20110007), MONA Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/16502 In 2008, Heisook Lee and Yoojin Lee introduced a building-up method to construct self-dual or self-orthogonal codes over finite rings Zpm of even length, for pm = 25, 125, 169, 289. In this thesis we obtained new self-dual or self-orthogonal codes over finite rings Zpm of even or odd length, for pm = 25, 125, 169, 625, by combining building-up and substraction methods. We also generalized the Harada-Munemasa and Recursive method to construct other self-orthogonal codes over finite rings Zpm, for pm = 25; 125; 169. All self-dual and self-orthogonal codes are MDS, MDR, near-MDS or near-MDR. text
institution	Institut Teknologi Bandung
building	Institut Teknologi Bandung Library
continent	Asia
country	Indonesia Indonesia
content_provider	Institut Teknologi Bandung
collection	Digital ITB
language	Indonesia
description	In 2008, Heisook Lee and Yoojin Lee introduced a building-up method to construct self-dual or self-orthogonal codes over finite rings Zpm of even length, for pm = 25, 125, 169, 289. In this thesis we obtained new self-dual or self-orthogonal codes over finite rings Zpm of even or odd length, for pm = 25, 125, 169, 625, by combining building-up and substraction methods. We also generalized the Harada-Munemasa and Recursive method to construct other self-orthogonal codes over finite rings Zpm, for pm = 25; 125; 169. All self-dual and self-orthogonal codes are MDS, MDR, near-MDS or near-MDR.
format	Theses
author	ELVIYENTI (NIM: 20110007), MONA
spellingShingle	ELVIYENTI (NIM: 20110007), MONA CONSTRUCTION OF MDS, MDR, NEAR-MDS OR NEAR-MDR SELF-DUAL AND SELF-ORTOGONAL CODES OVER FINITE RINGS Zpm
author_facet	ELVIYENTI (NIM: 20110007), MONA
author_sort	ELVIYENTI (NIM: 20110007), MONA
title	CONSTRUCTION OF MDS, MDR, NEAR-MDS OR NEAR-MDR SELF-DUAL AND SELF-ORTOGONAL CODES OVER FINITE RINGS Zpm
title_short	CONSTRUCTION OF MDS, MDR, NEAR-MDS OR NEAR-MDR SELF-DUAL AND SELF-ORTOGONAL CODES OVER FINITE RINGS Zpm
title_full	CONSTRUCTION OF MDS, MDR, NEAR-MDS OR NEAR-MDR SELF-DUAL AND SELF-ORTOGONAL CODES OVER FINITE RINGS Zpm
title_fullStr	CONSTRUCTION OF MDS, MDR, NEAR-MDS OR NEAR-MDR SELF-DUAL AND SELF-ORTOGONAL CODES OVER FINITE RINGS Zpm
title_full_unstemmed	CONSTRUCTION OF MDS, MDR, NEAR-MDS OR NEAR-MDR SELF-DUAL AND SELF-ORTOGONAL CODES OVER FINITE RINGS Zpm
title_sort	construction of mds, mdr, near-mds or near-mdr self-dual and self-ortogonal codes over finite rings zpm
url	https://digilib.itb.ac.id/gdl/view/16502
_version_	1820745390819901440

CONSTRUCTION OF MDS, MDR, NEAR-MDS OR NEAR-MDR SELF-DUAL AND SELF-ORTOGONAL CODES OVER FINITE RINGS Zpm

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