Incomplete (rq-q+r- ɛ , r)-arcs and minimal {ℓ,t}-Blocking set in PG(2,q) | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 12, Volume 11, Issue 1, June 2014, Pages 43-60 PDF (765.06 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2014.163738 | ||
| Authors | ||
| Nada Yassen Kasm Yahya1; Hiba suhil najem2 | ||
| 1University of Mosul/College of Education for Pure Science/Department of Mathematics | ||
| 2College of Education for pure sciences University of Mosul | ||
| Abstract | ||
| We proved that(rq-q+r-ɛ,r)-arcs is incomplete by using minimal {ℓ,t}-Blocking set in projective plane PG(2,q)and we found a new condition for ɛ is ɛ ≥-A(r-1)2+B(r-1)-C and A,B,C is a constant which is not get previously in studies which is search in finding ɛ for incomplete (rq-q+r-ɛ,r)-arcs ,for value 2≤r≤ 4 where q is prime for values 11≤q≤ 31 in addition to q=16. | ||
| Keywords | ||
| incomplete (rq-q+r-ɛ; r)-arcs; minimal{ℓ; t}-Blocking set; t-Blocking set; Projective Plane PG(2; q) | ||
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