A Z(8)-linear lift of the binary Golay code and a nonlinear binary (96,2(37),24)-code

Authors
Duursma, IM Greferath, M Litsyn, SN Schmidt, SE
Citation
Im. Duursma et al., A Z(8)-linear lift of the binary Golay code and a nonlinear binary (96,2(37),24)-code, IEEE INFO T, 47(4), 2001, pp. 1596-1598
Citations number
16
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
47
Issue
4
Year of publication
2001
Pages
1596 - 1598
Database
ISI
SICI code
0018-9448(200105)47:4<1596:AZLOTB>2.0.ZU;2-D
Abstract
We use a generalized Gray isometry in order to construct a previously unkno wn nonlinear (96, 2(36), 24) code as the image of a Z(8)-linear Hensel lift of the binary Golay code. The union of this code with a relevant coset yie lds a (96, 2(37), 24) code. The tables in [2], and [12] show that this rode and some of its shortenings are better than the best (non)linear binary co des known so far. For instance, the best earlier known code of length 96 an d minimum distance 24 had 2(33) words.