Gray isometries for finite chain rings and a nonlinear ternary (36,3(12),15) code

Authors
Greferath, M Schmidt, SE
Citation
M. Greferath et Se. Schmidt, Gray isometries for finite chain rings and a nonlinear ternary (36,3(12),15) code, IEEE INFO T, 45(7), 1999, pp. 2522-2524
Citations number
13
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
45
Issue
7
Year of publication
1999
Pages
2522 - 2524
Database
ISI
SICI code
0018-9448(199911)45:7<2522:GIFFCR>2.0.ZU;2-2
Abstract
Using tensor product constructions for the first-order generalized Reed-cul ler codes, we extend the well-established concept of the Gray isometry betw een (Z(4), delta(L)) and (Z(2)(2), delta(H)) to the context of finite chain rings. Our approach covers previous results by Carlet, Constantinescu, Nec haev et al, and overlaps with Heise et al. and Hanold ct ar. Applying the G ray isometry on Z(9) we Obtain a previously unknown nonlinear ternary (36, 3(12), 15) code.