ON THE WEIGHT HIERARCHY OF GOETHALS CODES OVER Z(4)

Authors
YANG KC HELLESETH T
Citation
Kc. Yang et T. Helleseth, ON THE WEIGHT HIERARCHY OF GOETHALS CODES OVER Z(4), IEEE transactions on information theory, 44(1), 1998, pp. 304-307
Citations number
12
Categorie Soggetti
Computer Science Information Systems","Engineering, Eletrical & Electronic","Computer Science Information Systems
Journal title
IEEE transactions on information theory → ACNP
ISSN journal
00189448
Volume
44
Issue
1
Year of publication
1998
Pages
304 - 307
Database
ISI
SICI code
0018-9448(1998)44:1<304:OTWHOG>2.0.ZU;2-8
Abstract
The rth generalized Hamming weight d(r)(m,j) of the Goethals code g(m) (j) of length 2(m) over Z(4) is considered in this correspondence. Zn the case that m greater than or equal to 3 is an odd integer, d(r)(m,j ) is exactly determined for r = 0.51 1, 1.5, 2, 2.5, and 3.0. For a co mposite m, we give an upper bound d(r)(m,j) using the lifting techniqu e.