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
Description
Summary: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.
ISSN:2078-2489

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