Composition of Gray Isometries

In classical coding theory, Gray isometries are usually defined as mappings between finite Frobenius rings, which include the ring \(Z_m\) of integers modulo \(m\), and the finite fields. In this paper, we derive an isometric mapping from \(Z_8\) to \(Z_4^2\) from the composition of the Gray isometr...

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Veröffentlicht in:	arXiv.org 2017-06
Hauptverfasser:	Sierra Marie M Lauresta, Sison, Virgilio P
Format:	Artikel
Sprache:	eng
Schlagworte:	Block codes Composition Fields (mathematics) Integers Mapping
Online-Zugang:	Volltext
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