New sizes of complete arcs in PG(2,q)

Details New sizes of complete arcs in PG(2,q) New sizes of complete arcs in PG(2,q)

2010-04-16

arxiv.org/abs/1004.2817v5

Mathematics

Combinatorics

10 pages

Scientific paper

New upper bounds on the smallest size t_{2}(2,q) of a complete arc in the projective plane PG(2,q) are obtained for 853<= q<= 2879 and q=3511,4096, 4523,5003,5347,5641,5843,6011. For q<= 2377 and q=2401,2417,2437, the relation t_{2}(2,q)<4.5\sqrt{q} holds. The bounds are obtained by finding of new small complete arcs with the help of computer search using randomized greedy algorithms. Also new sizes of complete arcs are presented.

Affiliated with

Also associated with

No associations

Rating

New sizes of complete arcs in PG(2,q) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New sizes of complete arcs in PG(2,q), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New sizes of complete arcs in PG(2,q) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-623891