![](/images/graphics-bg.png)
Codes over Graphs Derived from Quotient Rings of the Quaternion Orders
Joint Authors
Palazzo Júnior, Reginaldo
Quilles Queiroz, Cátia R. de O.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-27
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We propose the construction of signal space codes over the quaternion orders from a graph associated with the arithmetic Fuchsian group Γ8.
This Fuchsian group consists of the edge-pairing isometries of the regular hyperbolic polygon (fundamental region) P8, which tessellates the hyperbolic plane ?2.
Knowing the generators of the quaternion orders which realize the edge pairings of the polygon, the signal points of the signal constellation (geometrically uniform code) derived from the graph associated with the quotient ring of the quaternion order are determined.
American Psychological Association (APA)
Quilles Queiroz, Cátia R. de O.& Palazzo Júnior, Reginaldo. 2012. Codes over Graphs Derived from Quotient Rings of the Quaternion Orders. ISRN Algebra،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-511200
Modern Language Association (MLA)
Quilles Queiroz, Cátia R. de O.& Palazzo Júnior, Reginaldo. Codes over Graphs Derived from Quotient Rings of the Quaternion Orders. ISRN Algebra No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-511200
American Medical Association (AMA)
Quilles Queiroz, Cátia R. de O.& Palazzo Júnior, Reginaldo. Codes over Graphs Derived from Quotient Rings of the Quaternion Orders. ISRN Algebra. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-511200
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511200