THE ALGEBRAIC DECODING OF THE Z(4)-LINEAR GOETHALS CODE

Authors
HELLESETH T KUMAR PV
Citation
T. Helleseth et Pv. Kumar, THE ALGEBRAIC DECODING OF THE Z(4)-LINEAR GOETHALS CODE, IEEE transactions on information theory, 41(6), 1995, pp. 2040-2048
Citations number
4
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
2
Pages
2040 - 2048
Database
ISI
SICI code
0018-9448(1995)41:6<2040:TADOTZ>2.0.ZU;2-8
Abstract
The quaternary Goethals code is a Z(4)-linear code of length 2(m) whic h has 2(2m+1-3m-2) codewords and minimum Lee distance 8 for any odd in teger m greater than or equal to 3. The Gray map of this code is known to be a nonlinear binary (2(m+1),2(2m+1-3m-2),8) code. The covering r adius of the Z(4)-linear Goethals code is 6 and we present a complete decoding algorithm for the code.