On uniformly packed [n, n-fc,4] codes over gf(Q) and a class of caps in ?g(k-l, q)
Journal Article
We determine all uniformly packed [n, k, 4] codes over GF (2) and we derive a non-trivial necessary condition for the existence of uniformly packed [k, 4] codes over GF (q), where q 2 is a prime power. This condition allows us to classify uniformly packed [n, k, 4] codes over GF (4). As a corollary we obtain a necessary condition for the existence of a projective (n, k, h lt h 2) set S in PG (k1, q) with the property that no three points of S are collinear. A further corollary is a necessary condition for the linear representation of partial quadrangles. © 1982, Oxford University Press. All rights reserved.
Full Text
Duke Authors
Cited Authors
- Calderbank, R
Published Date
- January 1, 1982
Published In
Volume / Issue
- s2-26 / 2
Start / End Page
- 365 - 384
Electronic International Standard Serial Number (EISSN)
- 1469-7750
International Standard Serial Number (ISSN)
- 0024-6107
Digital Object Identifier (DOI)
- 10.1112/jlms/s2-26.2.365
Citation Source
- Scopus