On the Problem of the Existence of a Square Matrix U Such That UUT = −I over Zpm

On the Problem of the Existence of a Square Matrix U Such That UUT = −I over Zpm

Building-up construction is one of several methods for constructing self-dual codes. Recently, a new building-up construction method has been developed by S. Han, in which the existence of a square matrix U such that U U T = - I is essential. In this paper, we completely solve the existenc...

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Bibliographic Details
Main Author: Sunghyu Han
Format: Article
Language:English
Published: MDPI AG 2017-07-01
Series:Information
Subjects:
building-up construction
self-dual code
Zpm code
Online Access:https://www.mdpi.com/2078-2489/8/3/80
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spelling doaj-0e7ded5192bc4ff3b4c17f6e4fac07402020-11-24T21:44:57ZengMDPI AGInformation2078-24892017-07-01838010.3390/info8030080info8030080On the Problem of the Existence of a Square Matrix U Such That UUT = −I over ZpmSunghyu Han0School of Liberal Arts, KoreaTec, Cheonan 31253, KoreaBuilding-up construction is one of several methods for constructing self-dual codes. Recently, a new building-up construction method has been developed by S. Han, in which the existence of a square matrix U such that U U T = - I is essential. In this paper, we completely solve the existence problem for U over Z p m , where p is an arbitrary prime number.https://www.mdpi.com/2078-2489/8/3/80building-up constructionself-dual codeZpm code
collection DOAJ
language English
format Article
sources DOAJ
author Sunghyu Han
spellingShingle Sunghyu Han
On the Problem of the Existence of a Square Matrix U Such That UUT = −I over Zpm
Information
building-up construction
self-dual code
Zpm code
author_facet Sunghyu Han
author_sort Sunghyu Han
title On the Problem of the Existence of a Square Matrix U Such That UUT = −I over Zpm
title_short On the Problem of the Existence of a Square Matrix U Such That UUT = −I over Zpm
title_full On the Problem of the Existence of a Square Matrix U Such That UUT = −I over Zpm
title_fullStr On the Problem of the Existence of a Square Matrix U Such That UUT = −I over Zpm
title_full_unstemmed On the Problem of the Existence of a Square Matrix U Such That UUT = −I over Zpm
title_sort on the problem of the existence of a square matrix u such that uut = −i over zpm
publisher MDPI AG
series Information
issn 2078-2489
publishDate 2017-07-01
description Building-up construction is one of several methods for constructing self-dual codes. Recently, a new building-up construction method has been developed by S. Han, in which the existence of a square matrix U such that U U T = - I is essential. In this paper, we completely solve the existence problem for U over Z p m , where p is an arbitrary prime number.
topic building-up construction
self-dual code
Zpm code
url https://www.mdpi.com/2078-2489/8/3/80
work_keys_str_mv AT sunghyuhan ontheproblemoftheexistenceofasquarematrixusuchthatuutioverzpm
_version_ 1725907600748314624

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