ON THE SIZE OF ARCS IN PROJECTIVE SPACES

Authors
ALI AH HIRSCHFELD JWP KANETA H
Citation
Ah. Ali et al., ON THE SIZE OF ARCS IN PROJECTIVE SPACES, IEEE transactions on information theory, 41(6), 1995, pp. 1649-1656
Citations number
25
Categorie Soggetti
Information Science & Library Science","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on information theory → ACNP
ISSN journal
00189448
Volume
41
Issue
6
Year of publication
1995
Part
1
Pages
1649 - 1656
Database
ISI
SICI code
0018-9448(1995)41:6<1649:OTSOAI>2.0.ZU;2-#
Abstract
The known results on the maximum size of an are in a projective space or equivalently the maximum length of a maximum distance separable lin ear code are surveyed. It is then shown that this maximum is q + 1 for all dimensions up to q in the cases that q = 11 and q = 13; the resul t for q = 11 was previously known. The strategy is to first show that a Ii-are in PG(3,11) and a 12-arc in PG(3, 13) are subsets of a twiste d cubic, that is, a normal rational curve.