Incomplete (rq-q+r- ɛ , r)-arcs and minimal {ℓ,t}-Blocking set in PG(2,q)

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)