A geometric construction of complete (kr ,r)‎-arcs in PG(2,7)‎ and the related projective [n,3,d]7 codes

Author

Yahya, Nada Yasin Qasim

Source

al- Rafidain Journal of Computer Sciences and Mathematics

Issue

Vol. 12, Issue 1 (30 Jun. 2018), pp.24-40, 17 p.

Publisher

University of Mosul College of Computer Science and Mathematics

Publication Date

2018-06-30

Country of Publication

Iraq

No. of Pages

17

Main Subjects

Information Technology and Computer Science

Topics

Abstract EN

A (k ,r)-arc is a set of k points of a projective plane PG(2,q) such that some r, but no r + 1 of them, are collinear.

The (k ,r)-arc is complete if it is not contained in a (k + 1,r)-arc.

In this paper we give geometrical construction of complete (k r ,r)-arcs in PG(2,7), r = 2,3,…, 7, and the related projective [n,3,d]7 codes.

American Psychological Association (APA)

Yahya, Nada Yasin Qasim. 2018. A geometric construction of complete (kr ,r)-arcs in PG(2,7) and the related projective [n,3,d]7 codes. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 12, no. 1, pp.24-40.
https://search.emarefa.net/detail/BIM-901036

Modern Language Association (MLA)

Yahya, Nada Yasin Qasim. A geometric construction of complete (kr ,r)-arcs in PG(2,7) and the related projective [n,3,d]7 codes. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 12, no. 1 (2018), pp.24-40.
https://search.emarefa.net/detail/BIM-901036

American Medical Association (AMA)

Yahya, Nada Yasin Qasim. A geometric construction of complete (kr ,r)-arcs in PG(2,7) and the related projective [n,3,d]7 codes. al- Rafidain Journal of Computer Sciences and Mathematics. 2018. Vol. 12, no. 1, pp.24-40.
https://search.emarefa.net/detail/BIM-901036

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 40

Record ID

BIM-901036