Yahya, N.Y.K. (2018) A Geometric Construction of Complete (k,r)-arc in PG(2,7) and the Related Projective [n,3,d]7 Codes. AL-Rafidain Journal of Computer Sciences and Mathematics, 12, 24-40. https://doi.org/10.33899/csmj.2018.163568

has been cited by the following article:

• TITLE: Complete Arcs and Surfaces in Three Dimensional Projective Space PG(3,7)

  AUTHORS: Ali Ahmed A. Abdulla, Nada Yassen Kasm Yahya

  KEYWORDS: Algebraic Curves and Surfaces, Complete Arcs and Surfaces in Three Dimensional Projective Space, (k, ¶)-Span, Spread, Sets of Subspaces

  JOURNAL NAME: Open Access Library Journal, Vol.7 No.4, April 26, 2020

  ABSTRACT: The purpose of this thesis is to construct surfaces and complete arcs in the projective 3-space over Galois fields GF(q), q = 7. A(k,n)-arc in is a set of k points; no n + 1 of them are coplanar. A(k,n)-arc is complete if it is not contained in a (k + 1, n)-arc. In this work the (k,¶)-span are constructed in and it is found that, it exists in when k = 50. Moreover, the maximum (k,¶)-span, is called a spread.