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Information 2017, 8(3), 80; doi:10.3390/info8030080

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

School of Liberal Arts, KoreaTec, Cheonan 31253, Korea
Received: 17 May 2017 / Revised: 29 June 2017 / Accepted: 29 June 2017 / Published: 4 July 2017
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Abstract

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. View Full-Text
Keywords: building-up construction; self-dual code; Zpm code building-up construction; self-dual code; Zpm code
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Han, S. On the Problem of the Existence of a Square Matrix U Such That UUT = −I over Zpm. Information 2017, 8, 80.

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