Codes over Graphs Derived from Quotient Rings of the Quaternion Orders

Joint Authors

Palazzo Júnior, Reginaldo
Quilles Queiroz, Cátia R. de O.

Source

ISRN Algebra

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

Mathematics

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