On projective plane over a finite field of order seventeen and its application to error-correcting codes
Other Title(s)
حول مستوي الإسقاط لحقل منتهي من الرتبة السابعة عشرة و تطبيقاته لتصحيح أخطاء الرموز
Joint Authors
Hirschfeld, James W. P.
al-Siraji, Najm Abd al-Zahrah Makhrab
Source
Issue
Vol. 34, Issue 3A (31 Dec. 2016), pp.157-169, 13 p.
Publisher
University of Basrah College of Science
Publication Date
2016-12-31
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Abstract EN
The aim of the paper is to classify certain geometric structures, called arcs.
The main computing tool is the mathematical programming language GAP.
In the plane (2,17), the important arcs are called complete and are those that cannot be increased to a larger arc.
So far, all arcs up to and including size eight have been classified, as have complete 10-arcs, 11-arcs, 12-arcs, 13-arcs and 14-arcs.
In the plane of order seventeen, the maximum size is eighteen.
Each of these arcs gives rise to an error-correcting code that corrects the maximum possible number of errors for its length.
American Psychological Association (APA)
Hirschfeld, James W. P.& al-Siraji, Najm Abd al-Zahrah Makhrab. 2016. On projective plane over a finite field of order seventeen and its application to error-correcting codes. Basrah Journal of Science،Vol. 34, no. 3A, pp.157-169.
https://search.emarefa.net/detail/BIM-779913
Modern Language Association (MLA)
Hirschfeld, James W. P.& al-Siraji, Najm Abd al-Zahrah Makhrab. On projective plane over a finite field of order seventeen and its application to error-correcting codes. Basrah Journal of Science Vol. 34, no. 3A (2016), pp.157-169.
https://search.emarefa.net/detail/BIM-779913
American Medical Association (AMA)
Hirschfeld, James W. P.& al-Siraji, Najm Abd al-Zahrah Makhrab. On projective plane over a finite field of order seventeen and its application to error-correcting codes. Basrah Journal of Science. 2016. Vol. 34, no. 3A, pp.157-169.
https://search.emarefa.net/detail/BIM-779913
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 168
Record ID
BIM-779913