Small arcs in projective spaces
โ Scribed by Leo Storme
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 715 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0047-2468
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A regular {v,n}-arc of a projective space P of order q is a set S of Y points such that each line of P has exactly 0 , l or n points in common with S and such that there exists a line of P intersecting S in exactly n points. Our main results are as follows: (1) If P is a projective plane of order q
Using maximal arcs in PG(3, 2 m ), we give a new proof of the fact that the binary cyclic code C (m) 1, 2 2h &2 h +1 , the code of length 2 m &1 with defining zeroes : and : t , t=2 2h &2 h +1, where : is a primitive element in GF(2 m ), is 2-error-correcting when gcd(m, h)=1.