Open AccessA Geometric Construction of a (56,2)-Blocking Set in PG(2,19) and on Three Dimensional Linear [325,3,307]_19Griesmer Code
Author(s) -
Nada Kasm Yahya,
Zyiad Hamad Youines
Publication year - 2019
Publication title -
maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2311-7990
pISSN - 1815-4816
DOI - 10.33899/csmj.2020.163511
Subject(s) - blocking (statistics) , code (set theory) , set (abstract data type) , arc (geometry) , field (mathematics) , mathematics , discrete mathematics , computer science , algorithm , pure mathematics , programming language , geometry , statistics
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 [325,3,307]19and apply the Grismer rule so that we prove it an optimal or nonoptimal code, giving some examples of field 19 arcs Theorem (2.1)
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