A Geometric Construction of a (56,2)-Blocking Set in PG(2,19) and on Three Dimensional Linear [325,3,307]_19Griesmer Code

In this paper we give a geometrical construction of a ( 56, 2)-blocking set in PG( 2, 19) and We obtain a new (325,18)- arc and a new linear code and apply the Grismer rule so that we prove it an optimal or non-optimal code, giving some examples of field 19 arcs Theorem (2.1).

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Bibliographic Details
Published in:	AL-Rafidain journal of computer sciences and mathematics Vol. 13; no. 2; pp. 13 - 25
Main Authors:	Kasm Yahya, Nada, Hamad Youines, Zyiad
Format:	Journal Article
Language:	English
Published:	Mosul University 01-12-2019
Subjects:	arc bounded griesmer double blocking set optimal linear code projection code. projective plane
Online Access:	Get full text
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Description
Summary:	In this paper we give a geometrical construction of a ( 56, 2)-blocking set in PG( 2, 19) and We obtain a new (325,18)- arc and a new linear code and apply the Grismer rule so that we prove it an optimal or non-optimal code, giving some examples of field 19 arcs Theorem (2.1).
ISSN:	2311-7990 1815-4816 2311-7990
DOI:	10.33899/csmj.2020.163511