A geometric construction of an optimal [67,9,30] binary code

Authors
Cossidente, A Siciliano, A
Citation
A. Cossidente et A. Siciliano, A geometric construction of an optimal [67,9,30] binary code, IEEE INFO T, 47(3), 2001, pp. 1187-1189
Citations number
14
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
47
Issue
3
Year of publication
2001
Pages
1187 - 1189
Database
ISI
SICI code
0018-9448(200103)47:3<1187:AGCOAO>2.0.ZU;2-X
Abstract
We construct a new optimal binary [67, 9, 30]-code corresponding to a compl ete cap of PG (8, 2). This cap is obtained by gluing together some Hermitia n Veroneseans in a mixed partition of PG (8, 2) and one hyperoval. We also construct a ternary [364, 9, 234] -code corresponding to a complete cap of PG (8, 3). This cap turns out to be as large as the largest known c ap in PG (8, 3) (in an asymptotical sense).