Further results on generalized Hamming weights for Goethals and Preparata codes over Z_4
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SCOPUS
- Title
- Further results on generalized Hamming weights for Goethals and Preparata codes over Z_4
- Authors
- Helleseth, T; Hove, B; Yang, K
- Date Issued
- 1999-05
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Abstract
- This correspondence contains results on the generalized Hamming weights (GHW) for the Goethals and Preparata codes over Z(4). We give an upper bound on the rth generalized Hamming weights d(r)(m, j) for the Goethals code G(m)(j) of length 2(m) over Z(4), when nz is odd. We also determine d(3.5)(m,j) exactly. The upper bound is shown to be tight up to r = 3.5. Furthermore, we determine the rth generalized Hamming weight d(r)(m) for the Preparata code of length 2(m) over Z(4) when r = 3.5 and r = 4.
- Keywords
- generalized Hamming weights; Goethals codes; linear codes over Z(4); minimum support size; nonlinear code; Preparata codes; weight hierarchy; HIERARCHY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/20429
- DOI
- 10.1109/18.761279
- ISSN
- 0018-9448
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 45, no. 4, page. 1255 - 1258, 1999-05
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