Title :
On the weight hierarchy of Goethals codes over Z4
Author :
Yang, Kyeongcheol ; Helleseth, Tor
Author_Institution :
Dept. of Electron. Eng., Hanyang Univ., Seoul, South Korea
fDate :
1/1/1998 12:00:00 AM
Abstract :
The rth generalized Hamming weight dr(m,j) of the Goethals code 𝒢m(j) of length 2m over Z4 is considered in this correspondence. In the case that m⩾3 is an odd integer, dr(m,j) is exactly determined for r=0.5, 1, 1.5, 2, 2.5, and 3.0. For a composite m, we give an upper bound dr (m,j) using the lifting technique
Keywords :
Galois fields; linear codes; Galois rings; Goethals codes; Z4 linear codes; generalized Hamming weight; lifting technique; upper bound; weight hierarchy; Binary codes; Councils; Galois fields; Hamming weight; Informatics; Information theory; Linear code; Parity check codes; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
