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On the weight hierarchy of Goethals codes over Z4

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2 Author(s)
Kyeongcheol Yang ; Dept. of Electron. Eng., Hanyang Univ., Seoul, South Korea ; T. Helleseth

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

Published in:

IEEE Transactions on Information Theory  (Volume:44 ,  Issue: 1 )